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Table of contents

    23 July 2026, Volume 35 Issue 8 Previous issue   
    GENERAL
    Public goods game with umpire supervision: Based on complex networks and birandom geometric graph
    Yanzhe Huang(黄彦喆), Lilan Tu(涂俐兰), Xianjia Wang(王先甲), Yuchen Shao(邵雨晨), Xiaoyang Wang(王晓阳), and Ye Pan(潘烨)
    Chin. Phys. B, 2026, 35 (8):  080201.  DOI: 10.1088/1674-1056/ae1452
    Abstract ( 4 )   PDF (1002KB) ( 0 )  
    Using complex networks and the birandom geometric graph (BRGG) model, we first propose a construction algorithm for a two-layer network with umpire supervision (i.e., US-BRGBA). Subsequently, we introduce a reward-punishment mechanism imposed by umpires on players while considering both fair and corrupt umpires, thereby presenting the US-BRGBA game model with umpire supervision. Further, the feasibility and effectiveness of the proposed US-BRGBA model based on Monte Carlo (MC) simulations are verified, as well as the influence on players’ cooperative behaviors arising from umpires’ spatial distribution, the fraction of fair umpires, the reward value, the fine value, and the bribe value. Abundant simulations demonstrate that the US-BRGBA model promotes cooperation significantly. Additionally, the spatial distribution patterns of umpires do not consistently yield uniform effects on promoting cooperation, as their influences are contingent upon the fraction of fair umpires and the magnitude of the synergy factor. In resource-abundant regions, corruption does not block cooperative behaviors. Meanwhile, the introduction of umpires consistently facilitates cooperation, even in scenarios where all umpires exhibit corrupt behavior. Further, compared with the reward value and fine value, the cooperative behavior in the US-BRGBA game model is more sensitive to the bribe value.
    Breather-to-soliton transitions and nonlinear wave interactions for higher-order generalized Gerdjikov-Ivanov equation
    Yanan Wang(王亚男) and Minghe Zhang(张明赫)
    Chin. Phys. B, 2026, 35 (8):  080202.  DOI: 10.1088/1674-1056/ae15f2
    Abstract ( 3 )   PDF (2431KB) ( 0 )  
    We systematically investigate the intricate dynamics of the breather-to-soliton transitions and nonlinear wave interactions for the higher-order generalized Gerdjikov-Ivanov equation. The transition conditions of the breather-to-soliton are established and the novel nonlinear converted waves, including the W-shaped soliton, multi-peak soliton, anti-dark soliton and periodic wave solution are discussed. Meanwhile, the interactions among the above nonlinear converted waves are explored by choosing appropriate parameters. Furthermore, we derive the double-pole solutions exhibiting breather-to-soliton transitions and employ the asymptotic analysis method to analyze the dynamics of the asymptotic solitons for the doublepole anti-dark soliton. This work deepens the fundamental understanding of nonlinear wave metamorphosis induced by higher-order terms in integrable systems.
    Influence of memory effects on quantum Stackelberg duopoly game under amplitude damping channel
    Xiang-Ping Liao(廖湘萍) and Xin-Yi Wang(王馨仪)
    Chin. Phys. B, 2026, 35 (8):  080203.  DOI: 10.1088/1674-1056/ae29ff
    Abstract ( 10 )   PDF (1509KB) ( 3 )  
    We study the influence of memory effects on the quantum Stackelberg duopoly game through an amplitude-damping channel where successive uses of the channels are correlated. It is shown that the memory effects can drastically change the Nash equilibrium and the payoffs of the two firms. As the degree of channel memory increases, there exists a Nash equilibrium for the entire range of the entanglement parameter. Similarly, the presence of memory ensures the existence of the Nash equilibrium for the whole range of the decoherence parameter both for entangled and unentangled initial states. Moreover, quantum memory leads to a ‘critical point’ of the damping parameter, at which both firms are equally benefited. With the maximum-memory effect, the position of the ‘critical point’ moves to the place of fully decohered.
    Stability switching and hopf bifurcation in a two-delay predation system with diffusion and network coupling
    Wenjie Yang(杨文杰), Jingxin Hu(胡静欣), Qianqian Zheng(郑前前), Jianwei Shen(申建伟), and Yiping Lin(林怡平)
    Chin. Phys. B, 2026, 35 (8):  080204.  DOI: 10.1088/1674-1056/ae5c8a
    Abstract ( 45 )   PDF (1667KB) ( 12 )  
    This paper studies stability switching and Hopf bifurcation in a two-delay predation system with diffusion and network coupling. By using the Kronecker-product formulation and Laplacian-mode decomposition, the high-dimensional characteristic equation of the coupled system is reduced to a family of mode-dependent characteristic equations. Based on this reduction, explicit stability-switching curves are derived in the $(\tau_1,\tau_2)$-plane, and the corresponding stability region of the positive equilibrium is determined. Furthermore, by applying the Hassard method and center-manifold reduction, the direction of the Hopf bifurcation, the stability of the bifurcating periodic solutions, and the variation of their periods are obtained. Numerical examples are presented to verify the theoretical results and illustrate the temporal and spatiotemporal dynamics generated by the two delays under network coupling. These results provide an effective analytical framework for studying delay-induced stability switching and oscillatory behavior in networked predator-prey systems.
    SPECIAL TOPIC — Quantum frontiers with Rydberg atoms
    Nonadiabatic holonomic quantum computation in decoherence-free subspaces on Rydberg atoms
    Ya Gao(郜雅), Meng-Le Guo(郭梦乐), Pei-Yao Song(宋佩瑶), Ji-Ze Han(韩济泽), Zhi-Guo Huang(黄智国), Jin-Lei Wu(吴金雷), and Shi-Lei Su(苏石磊)
    Chin. Phys. B, 2026, 35 (8):  080301.  DOI: 10.1088/1674-1056/ae6cce
    Abstract ( 24 )   PDF (893KB) ( 5 )  
    We propose a scheme for realizing nonadiabatic holonomic quantum computation within a decoherence-free subspace using Rydberg atoms. By employing large-detuned lasers and the Rydberg antiblockade condition, we construct an effective Hamiltonian that couples logical states in a three-atom decoherence-free subspace while ensuring that the Rydberg states remain unpopulated. This approach significantly suppresses decoherence caused by atomic spontaneous emission and mitigates the mechanical effects and sensitivity to interatomic distance variations associated with Rydberg excitations. We demonstrate the realization of both conventional and single-loop single-logical-qubit holonomic gates with high fidelity. Furthermore, by utilizing an asymmetric encoding method, in which the control logical qubits employ Rydberg-state encoding to provide the required conditional blockade, we extend the scheme to construct universal two- and three-logical-qubit holonomic gates, offering a robust and scalable approach for quantum information processing.
    GENERAL
    Hierarchy of average correlation, quantum steering and Bell nonlocality in two-qubit systems
    Qinglong Tian(田清龙) and Youneng Guo(郭有能)
    Chin. Phys. B, 2026, 35 (8):  080302.  DOI: 10.1088/1674-1056/ae6b38
    Abstract ( 14 )   PDF (335KB) ( 4 )  
    Nonclassicality is seen as an important physical resource and offers quantum advantages in modern quantum information processing. Motivated by recent work on the interplay between Bell nonlocality and nonclassicality quantified by average correlation [Phys. Rev. Res. 5 023063 (2023)], in this paper we aim to establish the intrinsic relationship between the average correlation and the violation of the three-setting linear steering inequality for arbitrary two-qubit states. The results suggest that average correlation is closely related to the violation of the three-setting linear steering inequality, like its relationship with Bell inequality violation. Moreover, the dynamical behaviors of average correlation and steering are carefully analyzed under the influence of local unital and nonunital noisy channels. Particularly, for any two-qubit states, the hierarchy of average correlation-steering-Bell nonlocality is demonstrated by using the singular value decomposition theorem.
    Bipartite and tripartite entanglement in the two-qubit quantum Rabi model
    Lijun Mao(毛丽君), Hongmei Wang(王红梅), Yaoyao Zhou(周瑶瑶), and Hui Guo(郭慧)
    Chin. Phys. B, 2026, 35 (8):  080303.  DOI: 10.1088/1674-1056/ae85f7
    Abstract ( 10 )   PDF (604KB) ( 3 )  
    This study investigates the entanglement dynamics of the two-qubit quantum Rabi model (QRM) with both homogeneous and inhomogeneous couplings using the adiabatic approximation. The quantized field is initially prepared in a coherent state, while a separable state and a maximally entangled Bell state are selected as the initial two-qubit states. We characterize distinct types of entanglement generated among the subsystems through qubit-field interactions, with a focus on the bipartite entanglement between a single qubit and the field. Building on this, we examine tripartite correlations through the I-residual tangle, a measure that conclusively verifies the presence of genuine tripartite entanglement among the two qubits and the field. This work provides insights into the generation of tunable multipartite entanglement and the detection of quantum phase transitions in light-matter systems, such as circuit quantum electrodynamics (QED).
    Coupling-induced dynamics in a stochastic two-predator two-prey system with Markov switching
    Ya-Nan Sun(孙雅楠), Xin-Zhi Liu(刘新芝), and You-Ming Lei(雷佑铭)
    Chin. Phys. B, 2026, 35 (8):  080501.  DOI: 10.1088/1674-1056/ae8daf
    Abstract ( 2 )   PDF (1067KB) ( 0 )  
    We investigate a four-dimensional coupled predator-prey model that integrates white noise to model continuous environmental fluctuations and Markov switching to characterize discrete regime shifts. Compared with classical two-dimensional models, this formulation allows a more realistic description of complex multispecies interactions. In the deterministic case, the stability and bifurcation conditions for positive equilibrium are derived theoretically. The results show that increasing the coupling strength can induce Andronov-Hopf bifurcations and spiral dynamics, leading the system to evolve from a stable coexistence state to multimodal oscillations. In stochastic settings, the stochastic P-bifurcation phenomenon caused by noise and switching is identified through changes in the stationary probability density functions and the most probable trajectories. Based on the most probable trajectory theory, a quantitative indicator is further introduced to determine the bifurcation conditions in the switched system and to evaluate species coexistence in a switching environment. Results indicate that weak noise and switching rate can increase the coupling-induced bifurcation threshold and weaken multimodal oscillations. The combined influence of these factors provides a guiding basis for the coexistence of multiple species in switching environments.
    Multistability and offset boosting in a fractional-order discrete memristive neuron model with application to image encryption
    Haneche Nabil, and Hamaizia Tayeb
    Chin. Phys. B, 2026, 35 (8):  080504.  DOI: 10.1088/1674-1056/ae1454
    Abstract ( 4 )   PDF (8126KB) ( 0 )  
    This paper presents a three-dimensional discrete fractional-order memristor-coupled neuron (DFOMCN) map derived from coupling a two-dimensional neuron model through a discrete memristor, exhibiting unique offset-boosting dynamics. Unlike integer-order chaotic systems, the offset-boosting behavior in this fractional-order map achieved through parameter offset demonstrates explicit dependence on initial conditions, attributable to the memory effects of fractional-order operators. Rigorous dynamical analysis is conducted using Lyapunov exponent spectra, bifurcation diagrams, and phase portraits, revealing significantly richer hyperchaotic behavior compared to its integer-order counterpart. The system’s multistability and conditional symmetry are rigorously investigated, leading to initial-induced heterogeneous multistability and initialboosted homogeneous multistability. Furthermore, permutation entropy (PE) complexity analysis confirms exceptional unpredictability and pseudo-randomness in generated sequences. The proposed DFOMCN map is successfully applied to a novel color image encryption scheme, demonstrating outstanding security performance with high resistance to statistical, differential, and brute-force attacks.
    Vector solitons in parity-time-symmetric mixed linear-nonlinear lattices with fractional diffraction
    Xing Zhu(朱兴), Milivoj R. Belić, Dumitru Mihalache, Qinfang Xu(许勤芳), and Liangwei Zeng(曾亮维)
    Chin. Phys. B, 2026, 35 (8):  080505.  DOI: 10.1088/1674-1056/ae1455
    Abstract ( 6 )   PDF (5646KB) ( 2 )  
    We demonstrate that $\mathcal{PT}$-symmetric mixed linear-nonlinear lattices can sustain mixed-gap vector solitons in the coupled nonlinear Schrödinger equations with fractional diffraction. Here, mixed-gap vector solitons refer to solitons whose first and second components exist in different band gaps. In this work, the first component is a fundamental soliton, while the second is a dipole. When the propagation constant of the first component is fixed, the soliton power of the first component decreases as the propagation constant of the second component increases. Conversely, the power of the second component increases with its own propagation constant. We study cases with both large and small values of the Lévy index. We also study the stability of these solitons, using linear stability analysis and perturbed propagations. Interestingly, the stability domains of vector solitons with a large Lévy index are consistently much wider than those with a small Lévy index.
    Kinteic models of wealth distribution incorporating non-Maxwellian collision kernel and value function
    Xue Xia(夏雪), Yuhan Zhang(张语涵), Zhengwen Li(李政文)
    Chin. Phys. B, 2026, 35 (8):  080506.  DOI: 10.1088/1674-1056/ae3db8
    Abstract ( 15 )   PDF (423KB) ( 4 )  
    A kinetic model of wealth incorporating a non-Maxwellian collision kernel and a value function is investigated. The non-Maxwellian collision kernel describes the variable transaction frequency between agents, which is related to their wealth. A value function describing psychological characteristics is embedded into the interaction rules, and the resulting Boltzmann equation, incorporating the non-Maxwellian collision kernel, is used to analyze the evolutionary dynamics of wealth distribution.
    Simulation study on the impact of microwave pulses on performance of ensemble nitrogen-vacancy centers
    Xu-Bo Liao(廖旭博), Yi Zhang(张燚), Qi-Yuan Jiang(江奇渊), Bing-Feng Sun(孙兵锋), Sheng-Bing Shi(史圣兵), Shi-Yu Guan(管世钰), Yu-Xiao Wang(王雨潇), Zhong-Qi Tan(谭中奇), and Jie Yuan(袁杰)
    Chin. Phys. B, 2026, 35 (8):  080701.  DOI: 10.1088/1674-1056/ae24e9
    Abstract ( 1 )   PDF (1398KB) ( 0 )  
    This study is conducted to establish a reliable simulation model for investigating the impact of microwave pulses on the performance of an ensemble nitrogen-vacancy (NV) center system, thereby providing a basis for optimizing microwave parameters and enhancing quantum sensing performance. The simulation of ensemble NV centers is realized through the design of “Single NV Center Module” + “Ensemble Control Module”. Verified by optically detected magnetic resonance (ODMR), Ramsey, and Hahn echo experiments, the program can accurately reproduce the core characteristics of the experiments, confirming the reliability of the model. Using this model to study the influence of microwave spatial inhomogeneity on system performance, it was found that when θ (the range of microwave axial distribution) is 90∘, the sensitivity of the Hahn echo decreases by 3.6 times, and when the amplitude gradient is 50 μT/mm, the sensitivity decreases by 1.8 times, providing quantitative support for optimizing microwave parameters.
    REVIEW
    Reviews of algorithm-driven terahertz metamaterials: From intelligent design to multidisciplinary applications
    Wenyue Cao(曹文钺), Yuying Jiang(蒋玉英), Hongyi Ge(葛宏义), and Juncheng Cao(曹俊诚)
    Chin. Phys. B, 2026, 35 (8):  080702.  DOI: 10.1088/1674-1056/ae6b40
    Abstract ( 26 )   PDF (5261KB) ( 6 )  
    Terahertz metamaterials, composed of subwavelength artificial structures, exhibit strongly nonlinear and tightly coupled electromagnetic responses governed by geometry, material properties, and resonance modes. Driven by growing demands in high-sensitivity sensing, terahertz communication, and functional imaging, the design space of these devices has rapidly expanded, rendering conventional empirical and parameter-sweeping approaches inefficient for global optimization. Algorithm-driven strategies, particularly those leveraging machine learning and deep learning, have emerged as powerful surrogates for electromagnetic simulation, enabling automated multi-objective optimization and rapid inverse design. Beyond predictive capabilities, these algorithms uncover latent physical mechanisms and support adaptive, closed-loop experimental implementations. Within a unified framework, this review systematically categorizes and summarizes advances in algorithm-driven design of terahertz metamaterials, including traditional optimization methods, machine learning, deep learning, and reinforcement learning, highlighting their roles in multi-layer structural design, multimodal coupling control, and dynamic multi-target detection. Finally, we conduct a detailed analysis of current challenges, including data quality, model generalization, and physical interpretability, and clearly identify future research directions. These directions are expected to lead to practical applications in high-sensitivity chemical and biological detection, terahertz wireless communication, and wave-based functional imaging.
    GENERAL
    A Compton imaging detection system for neutron resonance capture analysis at Back-n
    Jin-Cheng Wang(王金成), Jie Ren(任杰), Wei Jiang(蒋伟), Suyalatu Zhang(张苏雅拉吐), Ping Cao(曹平), Xichao Ruan(阮锡超), Hao-Lan Yang(杨皓岚), Jie-Ming Xue(薛洁明), Ying-Yi Liu(刘颖一), Jie Bao(鲍杰), Guang-Yuan Luan(栾广源), Qi-Wei Zhang(张奇玮), Yi-Jia Qiu(邱奕嘉), Yong-Hao Chen(陈永浩), Rui-Rui Fan(樊瑞睿), Wei-Yu Wang(王维宇), Zhen-Yu Sun(孙振宇), De-Xin Wang(王德鑫), and Mei-Rong Huang(黄美容)
    Chin. Phys. B, 2026, 35 (8):  080703.  DOI: 10.1088/1674-1056/ae15f7
    Abstract ( 3 )   PDF (1295KB) ( 0 )  
    Neutron resonance capture analysis (NRCA) is a method that utilizes the resonance structures in neutron-induced reactions to determine the elemental composition of materials. It is used for the non-destructive analysis of cultural heritage objects, archaeological artifacts, and reference materials. The back streaming white neutron facility (Back-n) of the China Spallation Neutron Source (CSNS) provides neutron energy ranging from eV to MeV, offering favorable beam conditions for the development of neutron resonance capture imaging (NRCI). Compton imaging is applied to achieve NRCI in this work. A series of dedicated measurements with calibrated sources and with Back-n neutron beam incident on a 197Au sample have been carried out. The results indicate that this detector can achieve NRCI at Back-n. This work provides a foundation for nuclide identification using NRCI at the Back-n facility.
    ATOMIC AND MOLECULAR PHYSICS
    Low-lying electronic states of rhodium monocarbide and iridium monocarbide
    Yubing Ren(任宇冰), Kaijie Zhang(张凯杰), Bing Yan(闫冰), and Wenli Zou(邹文利)
    Chin. Phys. B, 2026, 35 (8):  083101.  DOI: 10.1088/1674-1056/ae12df
    Abstract ( 5 )   PDF (806KB) ( 0 )  
    This article presents a theoretical exploration of the electronic spectra of two cobalt group monocarbide molecules, RhC and IrC, utilizing the complete active space second-order perturbation theory (CASPT2) method. It encompasses all the low-lying $\varLambda$-$S$ and $\varOmega$ states below 4 eV (approximately 32000 cm$^{-1}$). The theoretical findings corroborate the previously established ground states: the ${\rm X}{ }^2\Sigma^+_{1/2}$ state for RhC and the ${\rm X}_1{ }^2\Delta_{5/2}$ state for IrC, alongside the closely lying first excited state ${\rm X}_2{ }^2\Sigma^+_{1/2}$. Additionally, a couple of excited states observed experimentally have been reasonably assigned based on these theoretical results, and the derived spectroscopic constants and radiative lifetimes (for RhC only) are generally consistent with available experimental data. These theoretical insights not only deepen our understanding of the electronic structures of RhC and IrC but also lay the groundwork for subsequent spectroscopic research on these two molecules.
    TOPICAL REVIEW — Quantum frontiers with Rydberg atoms
    Ultralong-range Rydberg molecules in cold atom gases
    Jingxu Bai(白景旭), Yuechun Jiao(焦月春), Xiao-Qiang Shao(邵晓强), Weibin Li(李伟斌), and Jianming Zhao(赵建明)
    Chin. Phys. B, 2026, 35 (8):  083201.  DOI: 10.1088/1674-1056/ae6ccf
    Abstract ( 26 )   PDF (5259KB) ( 5 )  
    Rydberg molecules, formed by one or more Rydberg atoms, exhibit remarkable properties, including an exceptionally large spatial extent, rich rovibrational level structures, permanent electric dipole moments, and a pronounced sensitivity to external fields. Based on the underlying binding mechanisms, Rydberg molecules can be divided into three categories: the ground-Rydberg molecules that are bound via a low-energy electron-atom scattering interaction between a ground atom and a Rydberg electron, the Rydberg-Rydberg molecules that are bound via a long-range electrostatic interaction between Rydberg atoms, and the ion-Rydberg molecules that are bound via single- or multi-polar interactions between a Rydberg atom and an ion. This review focuses on recent theoretical and experimental advances in diatomic Rydberg molecules, covering their formation and binding mechanisms, potential energy curves, experimental observations, and spectroscopic properties, with the aim of providing a comprehensive overview of the current state and future prospects of this rapidly developing field.
    ATOMIC AND MOLECULAR PHYSICS
    Observation and analysis of the center-of-mass position trajectory for trapped ultracold atoms
    Zhi-Xin Duan(段志鑫), Ru-Fang Zhao(赵茹方), Wei-Tao Wu(吴炜韬), and Sheng-Jun Yang(杨胜军)
    Chin. Phys. B, 2026, 35 (8):  083701.  DOI: 10.1088/1674-1056/ae15f9
    Abstract ( 10 )   PDF (2973KB) ( 2 )  
    Optical dipole traps are indispensable tools in ultracold atomic physics, and precise understanding and control of atomic dynamics within the traps are critically important. Here, applying a magnetic gradient to perturb dipole-trapped ultracold atoms, we investigate the trajectory of the center of mass positions (CoMPs) when atoms are either in a single spin state ($\left|F=1, m_F=-1\right>$) or in the pseudospin-mixed states ($\left|F=1, m_F=-1\right>$ and $\left|F=1, m_F=0\right>$). Unlike just treating the conventional time-of-flight (TOF) imaging as atomic momentum distribution, we present a methodology in-depth for accurate information about the atomic spatial trajectory evolution. This approach circumvents the need for complex and resource-intensive in-situ high-resolution imaging, broadening the accessibility of dynamic studies, and trap characterization across ultracold atoms. It can be directly used for fine-calibrating parameters of the trap potential and studying the atomic dynamical evolution, which will benefit various research areas of ultracold atoms.
    ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS
    Compact multimode vortex-wave radiator enabled by quasi-1D spoof plasmons
    Zhen Liao(廖臻), Zuquan Ao(敖祖权), Yun Li(李赟), Guo-Qing Luo(罗国清), and Leilei Liu(刘蕾蕾)
    Chin. Phys. B, 2026, 35 (8):  084101.  DOI: 10.1088/1674-1056/ae5f85
    Abstract ( 6 )   PDF (1890KB) ( 0 )  
    We demonstrate a compact multimode vortex-wave radiator based on quasi-one-dimensional spoof surface plasmon polaritons (quasi-1D SSPP). The structure supports simultaneous generation of four distinct orbital angular momentum modes l = 1, -2, 3, -4 at a single frequency. Enabled by the high propagation constant and strong field confinement of the dispersion-engineered spoof surface plasmon polaritons (SSPP) waveguide, the device achieves a footprint of only 0.9λ while maintaining high mode purity and low intermodal crosstalk. Although implemented in the microwave regime for experimental accessibility, the subwavelength corrugated geometry and slow-wave phase control mechanism are directly scalable to terahertz and infrared frequencies. This work provides a practical platform for integrated orbital angular momentum (OAM) multiplexing using planar-compatible plasmonic architectures, with potential applications in structured light generation and high-capacity photonic systems.
    Nonlinear evolution and formation of cosh-Gaussian breathers in cubic-quintic media possessing hump-shaped quintic nonlinearity
    Naveen Gupta, Alex A K, and Deepak Kumar
    Chin. Phys. B, 2026, 35 (8):  084205.  DOI: 10.1088/1674-1056/ae2d3a
    Abstract ( 1 )   PDF (1916KB) ( 0 )  
    We investigate the nonlinear evolution and formation of cosh-Gaussian (ChG) breathers in a nonlinear optical medium characterized by a cubic-quintic (CQ) refractive index profile with a spatially modulated hump-shaped quintic nonlinearity. The study is motivated by the unique intensity structure of ChG beams, which combines hyperbolic cosine and Gaussian features, enabling a rich interplay between diffraction, self-focusing and nonlinear saturation effects. Employing the moment method, we derive a set of evolution equations governing the beam width and axial phase of the laser beam under the influence of the composite nonlinearity. The analysis reveals critical conditions under which the beam undergoes periodic breathing behavior, indicating the formation of robust breather solitons. The presence of the hump-shaped quintic term introduces a localized nonlinear potential that significantly alters the propagation dynamics of the breather.
    RAPID COMMUNICATION
    Enhancement of second harmonic generation in two-dimensional materials with dual-stopband distributed Bragg reflector
    Mengyuan Jia(贾梦源), Jukun Zhan(詹居坤), Tiejun Huang(黄铁军), Jiang Zeng(曾江), Yanan Dai(戴亚南), and Mingyuan Huang(黄明远)
    Chin. Phys. B, 2026, 35 (8):  084206.  DOI: 10.1088/1674-1056/ae6178
    Abstract ( 3 )   PDF (1662KB) ( 0 )  
    As a prominent branch of nonlinear optics (NLO), second-harmonic generation (SHG) has been widely studied in fields such as optics, electronics, and materials science. Due to their high conversion efficiency and relaxed phase matching constraints, two-dimensional (2D) materials have become an attractive platform for SHG research. In this work, monolayer MoSe2 was used as the active material, and a dual-stopband distributed Bragg reflector (DBR) structure was fabricated by plasma-enhanced chemical vapor deposition (PECVD) to enhance the SHG efficiency of monolayer MoSe2. The DBR provided substantial enhancement at both the excitation and emission wavelengths. Compared to MoSe2 on a Si substrate, the sample on the DBR exhibited an SHG signal enhancement of over 4000 times. Polarization-dependent measurements showed that the SHG response of MoSe2 on the DBR retained the same polarization dependence as that on the Si substrate. Furthermore, temperature-dependent measurements confirmed that the variation of the SHG signal with temperature followed a consistent trend for MoSe2 on both substrates.
    ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS
    Proton-implanted CeO2/Sb2O3-co-doped phosphate glass waveguides and its annealing evolution
    Chun-Xiao Liu(刘春晓), Shi-Yu Chen(陈诗语), Jia-Pei Wu(吴佳佩), Quan-Long He(贺全龙), Jian-Fei Guan(关建飞), Liao-Lin Zhang(张料林), and Hai-Tao Guo(郭海涛)
    Chin. Phys. B, 2026, 35 (8):  084207.  DOI: 10.1088/1674-1056/ae156d
    Abstract ( 10 )   PDF (361KB) ( 2 )  
    Proton implantation has received increasing attention in the field of optical waveguide fabrication. It is meaningful to explore the annealing effects on the guiding properties of the proton-implanted waveguides. In this work, the CeO$_{2}$/Sb$_{2}$O$_{3}$-co-doped phosphate glass waveguides were formed by 400-keV proton implantation, and the proton fluence was chosen to be 8$\times10^{16}$ ions/cm$^{2}$. The implanted glass was annealed in a series of 60-min thermal treatments at temperatures ranging from 260 $^\circ$C to 360 $^\circ$C. After each annealing treatment, the modes and their effective refractive indices were measured at 632.8 nm by a prism coupling system. The near-field intensity distribution of the zeroth-order mode was recorded by using an end-face coupling method. The mechanism of the planar waveguide formation is discussed by simulating the energy loss distribution and calculating the refractive index profile. It can enhance theoretical and experimental references for the development of integrated photonic devices by implantation and annealing.
    All-polarization-maintaining tunable L-band mode-locked fiber laser and cascaded second-harmonic generation
    Kang-Rui Chang(常康瑞), Xiang Zhang(张祥), Cheng-Jie Gao(高承杰), Hao-Bin Zheng(郑浩斌), Yong Shen(沈咏), and Hong-Xin Zou(邹宏新)
    Chin. Phys. B, 2026, 35 (8):  084209.  DOI: 10.1088/1674-1056/ae3133
    Abstract ( 4 )   PDF (748KB) ( 0 )  
    There is an urgent demand for highly stable, broadly wavelength-tunable, and low-repetition-rate pulsed lasers in fields such as cold-atom physics, precision spectroscopy, and bioimaging. However, conventional L-band lasers often suffer from environmental instability and limited tuning range. To address this, we propose an all-polarization-maintaining, wavelength-tunable L-band mode-locked fiber laser, followed by cascaded second harmonic generation. Wavelength tuning from 1570 nm to 1596 nm was achieved by incorporating a rotatable intracavity filter with a bandwidth of 10 nm. The laser exhibits self-starting mode locking and can generate pulses with a pulse width of 87 ps and a repetition rate of 15.6 MHz. Using cascaded periodically poled lithium niobate and β-barium borate crystals, we perform frequency conversion on the output pulses to produce tunable near-infrared (778-804 nm) and ultraviolet (389-402 nm) light. With broad wavelength tunability enabling applications such as two-photon excitation fluorescence imaging at 780 nm, laser cooling of calcium ions at 397 nm, and optical pumping in miniaturized rubidium atomic clocks, this laser system can serve as a versatile platform for quantum technologies and ultrafast spectroscopy.
    Multi-mode chirped-Pearcey-Laguerre-Gaussian space-time wave packets synergistically regulated by dispersion and chirp
    Yue Du(杜悦), Sai Ma(马赛), Chenchen Li(李晨晨), Haojie Li(李昊杰), Xiaolu Ge(葛筱璐), Chidao Chen(陈迟到), Benyi Wang(王本义), Zhongsheng Man(满忠胜), Wenfei Zhang(张文飞), and Liping Zhang(张丽萍)
    Chin. Phys. B, 2026, 35 (8):  084210.  DOI: 10.1088/1674-1056/ae64cf
    Abstract ( 2 )   PDF (1488KB) ( 0 )  
    This study introduces the chirped-Pearcey-Laguerre-Gaussian space-time (CPLGST) wave packets and investigates their propagation characteristics in linear dispersive media, uncovering diverse propagation regimes of the CPLGST wave packets as the radial and angular mode numbers are tuned. Modulating the second-order chirp factor and dispersion coefficient allows for tailored manipulation of the envelope profile, evolution trajectory, and propagation dynamics of the CPLGST wave packets. It further uncovers the dynamic balance regulation mechanism of the CPLGST wave packets, which is mediated by the synergistic effect of the second-order chirp factor and dispersion coefficient, while also examining the evolution characteristics and peak intensity variation laws of such wave packets under normal and anomalous dispersion conditions. Additionally, this study explores the gradient and scattering force characteristics of the CPLGST wave packets, thereby further exploring their potential applications in optical tweezers technology and microparticle manipulation.
    Tunable terahertz slow-light device based on triple plasmon-induced transparency on a patterned graphene metasurface
    Bo-Yun Wang(王波云), Yao-Yang Dai(代耀阳), De-Bing Long(龙德兵), and Hua-Qing Yu(余华清)
    Chin. Phys. B, 2026, 35 (8):  084211.  DOI: 10.1088/1674-1056/ae86db
    Abstract ( 44 )   PDF (3767KB) ( 2 )  
    The present study proposes a reconfigurable metasurface comprising four graphene rectangles together with five graphene strips, designed to achieve triple plasmon-induced transparency (PIT). The coupled mode theory-based theoretical analysis demonstrates a high level of agreement with finite-difference time-domain simulation results. This graphene-based triple-PIT device enables dynamic tuning of its Fermi level and carrier mobility. For the prepared triple-PIT system, the group index varies from 1134 to 2020 with increasing graphene Fermi level in the range of 0.8-1.2 eV. Conversely, the group index ranges from 1123 to 2079 with increasing graphene carrier mobility in the range of 2.5-4.5 m$^{2}$/(V$\cdot$s). Additionally, the maximum group index (2079) of this device is achieved at the 1.0 eV Fermi level and the 4.5 m$^{2}$/(V$\cdot$s) carrier mobility, which markedly exceeds that of conventional terahertz slow-light structures. Furthermore, the device exhibits good tolerance to design and fabrication deviations. It thus provides useful design guidance for high-performance terahertz slow-light devices.
    Near-perfect infrared absorption in atomic monolayers: Approaching the fundamental optical limit
    Jun-Yu Chu(楚俊宇), Cheng-Long Zhou(周承隆), Yan Wang(王妍), Yong Zhang(张勇), and Hong-Liang Yi(易红亮)
    Chin. Phys. B, 2026, 35 (8):  084401.  DOI: 10.1088/1674-1056/ae12d9
    Abstract ( 2 )   PDF (2812KB) ( 0 )  
    High absorption in the mid-infrared band is essential for applications ranging from information processing to energy harvesting. Conventionally, achieving broadband absorption approaching the optical limit has required absorber thicknesses comparable to or exceeding the characteristic wavelength. By contrast, realizing such broadband infrared absorption at the atomic scale has remained exceedingly difficult. In this work, we demonstrate that a one-dimensional MXene grating system provides a platform for achieving strong infrared absorption at atomic thicknesses. The results show that an 8-nm MXene film (~ λ/1000) patterned with a simple stripe grating is found to approach the theoretical absorption limit of 0.5 for two-dimensional films. The absorption peak wavelength is readily tuned by varying the MXene strip width, while the positions of the optical resonances are accurately captured by a Fabry-Pérot model. Power dissipation analysis further reveals that the absorption arises from resonance-driven field enhancement and establishes a direct correlation between absorption and grating periodicity. These findings demonstrate a viable strategy for atomic-scale control of thermal radiation through rationally designed nanostructures.
    Multiscale modeling of droplet deposition and solidification dendrite growth during DED-Arc additive manufacturing of a nickel-based superalloy
    Qingyu Zhang(张庆宇), Zhixian Chen(陈志贤), Rong Wang(王荣), Pengcheng Huan(环鹏程), Dongke Sun(孙东科), and Xiaonan Wang(王晓南)
    Chin. Phys. B, 2026, 35 (8):  084701.  DOI: 10.1088/1674-1056/ae2671
    Abstract ( 4 )   PDF (1193KB) ( 0 )  
    The evolutions of droplet morphology on the macroscale and solidification microstructure on the microscale, during direct energy deposition (DED)-Arc additive manufacturing of a nickel-based alloy, are simulated by developing a multiscale model based on the lattice Boltzmann and cellular automaton models. The macroscopic model is quantitatively validated by modeling the time-dependent phase interface position and temperature distribution for a classical Stefan problem of phase change in the multiphase system. In the simulation of droplet deposition, it is found that the contact line length between the deposited droplet and substrate is proportional to a defined overall factor, $d_{\rm D}^{2} \cdot \left| {{{\bm u}}} \right|^{2}\cdot \Delta T\cdot \left( {1+\cos \theta_{0} } \right)$, composed of droplet size ($d_{\rm D}$), impact velocity ($\bm u$), temperature difference ($\Delta T$), and intrinsic contact angle ($\theta$), respectively. The overall factor allows one to evaluate the contact line length prior to the experiment, which is significant for heat transfer efficiency and formability of the additive manufacturing products. The evolution of temperature distribution during multilayer droplet deposition is obtained, and the calculated cooling rate ($\sim 800 $ K/s) and temperature gradient ($\sim 1 $ K/m) accord well with the typical data in the literature. By mapping the macroscopic temperature field data into the microscopic model through multidimensional linear interpolation, the growth of dendrites during solidification of the pillar-shaped product is reproduced. Both the simulation and experimental results show that the solidification dendrites present coarse columnar patterns, with several millimeters in length extending multiple deposition layers. This work not only elucidates the complex interactions among droplet impact dynamics, convective heat transfer, solidification/melting, and wetting phenomena in droplet deposition, but also provides an alternative for the predictions of the DED-Arc additive manufacturing formability, as well as the evolution of convections, temperature, and solidification microstructure.
    PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES
    Theoretical analyses for influences of initial operating parameters on charged-particle transport characteristics in a low-pressure double-wall bounded decaying plasma
    Yao-Ting Wang(汪耀庭), Xin-Li Sun(孙鑫礼), Lan-Yue Luo(罗岚月), Zi-Ming Zhang(张子明), He-Ping Li(李和平), Dong-Jun Jiang(姜东君), and Ming-Sheng Zhou(周明胜)
    Chin. Phys. B, 2026, 35 (8):  085201.  DOI: 10.1088/1674-1056/ae1567
    Abstract ( 10 )   PDF (737KB) ( 3 )  
    The influencing mechanisms of the initial operating parameters including the initial plasma density, electron temperature, plasma width, and externally applied voltage on ion extraction characteristics are studied based on a simplified one-dimensional analytical model for a double-wall bounded decaying plasma system. Firstly, a criterion of the dimensionless plasma width ($L_{\rm min}$) which is normalized with the Debye length for evaluating the state of the sheath expansion is proposed for the first time. Secondly, if the plasma width is larger than the value of $L_{\rm min}$, a complete sheath expansion process including both the supersonic and subsonic sheath expansion phases occurs during plasma decaying. Consequently, on the one hand, the total ion extraction time and the fraction of the extracted ions at the end of stage II, $i.e.$, the sheath expansion and ion rarefaction wave propagation stage during the whole ion extraction process, can be determined by the initial operating parameters; and on the other hand, it is estimated that about 70 % of ions can be extracted at the end of the second stage from the bulk plasma with a consumption of about 62.5 % of the total ion extraction time within the parameter ranges studied in this paper. This research is helpful for a deep understanding of the physical mechanisms of the charged-particle transport, as well as for guiding parameter optimizations with better ion extraction performances in practice.
    CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES
    Topological features of atomic packings and the relation to glass-forming ability in metallic glass-forming systems
    Yufei He(何宇飞), Jiaqi Wu(吴佳琦), and Maozhi Li(李茂枝)
    Chin. Phys. B, 2026, 35 (8):  086101.  DOI: 10.1088/1674-1056/ae1457
    Abstract ( 13 )   PDF (890KB) ( 0 )  
    Molecular dynamics simulations were performed to study some model metallic glass-forming systems with distinct glass-forming ability (GFA), including monatomic metals and multicomponent alloys for understanding the physical origin of the GFA. Here the topological features of atomic packings in these systems were explored by employing the persistent homology (PH), a novel approach of computational algebraic topology to characterize the homology classes/Betti number and connection propensity of the densest packings. We found that the homology classes in all systems decrease with decreasing temperature, suggesting that the atomic packings generally become more and more heterogeneous during glass formation, but with different degrees. Moreover, we found that the connection propensity of the densest packings exhibits distinct evolution tendency in both multicomponent alloys and monatomic metals during cooling, and is consistent with the order of their GFA. This indicates that the connection propensity of the densest packings may be a general factor controlling the GFA of metallic glass-forming systems. Our findings demonstrate that the topological features of dense atomic packings in metallic glass-forming systems may be intrinsic in disordered structures and provide new insights into the structure-property relationship in glass-forming systems.
    Synergistic modulation of ionic selectivity in graphene pores modified by crown ether
    Yanbo Xin(辛延波), Qin Gao(高勤), Jiangshun Huang(黄江顺), Paul K. Chu(朱剑豪), and Anping Huang(黄安平)
    Chin. Phys. B, 2026, 35 (8):  086102.  DOI: 10.1088/1674-1056/ae5c74
    Abstract ( 4 )   PDF (2640KB) ( 0 )  
    Achieving high ion selectivity in atomically thin membranes represents a critical step toward advanced gatingcontrolled ionic transport in nanofluidic applications such as logic gates and biosensors. Herein, monolayer graphene pores modified by crown ether are constructed to systematically investigate the ion selectivity in both vacuum and aqueous environments from a theoretical perspective. Synergistic optimization of charge distribution and pore size significantly improves the ion selectivity, showing a cation/anion selectivity ratio of up to 102. The energy profiles for ion penetration (e.g., Li+, Na+, K+, Cl-, Br-) are modulated by tailoring the pore size and introducing charges, as validated by kinetic analysis of ion-free diffusion and electroosmotic flow. The fundamental ion-sieving mechanism is further elucidated by examining the dependence of ion currents on carrier concentration in the nanopores. These findings on ion transport pave the way for artificial nanochannel membrane applications in nanofluidic circuits and biomimetic sensors.
    An efficient algorithm for shadowing effect simulation under hexagonal lattice-based model
    Xiaolong Jiang(蒋晓龙), Xin Xiang(向欣), Xiaoyu Luan(栾晓雨), Haijun Wang(王海军), Baoshen Jia(贾宝申), Qinghua Deng(邓青华), Chuanchao Zhang(张传超), Wei Liao(廖威), Wei Ni(倪卫), and Qihua Zhu(朱启华)
    Chin. Phys. B, 2026, 35 (8):  086801.  DOI: 10.1088/1674-1056/ae82e5
    Abstract ( 5 )   PDF (2406KB) ( 2 )  
    This paper introduces an efficient algorithm for simulating the shadowing effect in hexagonal-lattice networks, addressing a critical gap in existing methods that are limited to cubic-lattice models. The shadowing effect significantly influences roughness development in processes such as film growth and plasma etching but has previously been impractical for hexagonal lattices due to its computational complexity. The proposed algorithm dramatically reduces computational load by strategically reducing the calculation dimensionality from three-dimensional (3D) to two-dimensional (2D) and handling the misaligned odd and even layers separately. This enables simulations on personal computers, with the typical simulation time decreasing from several days to less than one hour (achieving $>100\times$ acceleration). Validated simulations show consistent results with cubic-lattice models in both growth (roughening) and etching (smoothing) scenarios, while demonstrating superior symmetry in roughness formation. The work facilitates broader applications of shadowing simulations and integration with other hexagonal-lattice-based mechanisms.
    RAPID COMMUNICATION
    Layer-dependent local gate response in graphene-supported TaSe2 films studied by gate-tunable STM
    Kefan Wu(吴可凡), Linfei Li(李林飞), Zhixuan Li(李志轩), Ke Zhu(祝轲), Jiayi Wang(王嘉翌), Hui Guo(郭辉), Shiyu Zhu(朱诗雨), Xiao Lin(林晓), and Hong-Jun Gao(高鸿钧)
    Chin. Phys. B, 2026, 35 (8):  086802.  DOI: 10.1088/1674-1056/ae66dd
    Abstract ( 20 )   PDF (2079KB) ( 6 )  
    Gate-tunable scanning tunnelling microscopy (STM) enables direct correlation between electrostatic gating and local electronic states in two-dimensional correlated materials. Here, we investigate TaSe$_2$ films on graphene using a home-built gate-tunable STM setup. Large-area and atomically resolved STM images reveal well-defined TaSe$_2$ islands and an ordered charge-density-wave (CDW) superstructure. Monolayer TaSe$_2$ shows spatially resolved scanning tunnelling spectroscopy (STS) features but a strongly suppressed gate response under back-gate voltages. In contrast, bilayer TaSe$_2$ exhibits a richer zero-gate electronic structure and systematic bias-dependent evolution of CDW contrast. Fixed-point gate-dependent STS in the bilayer region demonstrates clear spectral-weight redistribution and low-energy feature evolution. Our results establish a feasible gate-tunable STM protocol for TaSe$_2$/graphene heterostructures and reveal pronounced layer-dependent local gate response in correlated two-dimensional systems.
    Reversible self-intercalation in trilayer 1T-NiTe2
    Qian Fang(方迁), Zihao Huang(黄子豪), Runnong Zhou(周润农), Lei Tao(陶蕾), Chen Liu(刘晨), Xianghe Han(韩相和), Li Huang(黄立), Xiao Lin(林晓), Hui Guo(郭辉), Hui Chen(陈辉), and Hong-Jun Gao(高鸿钧)
    Chin. Phys. B, 2026, 35 (8):  087101.  DOI: 10.1088/1674-1056/ae64d7
    Abstract ( 23 )   PDF (1000KB) ( 4 )  
    Self-intercalation in layered transition metal dichalcogenides provides a promising route for modulating lattice structures and electronic properties without introducing extrinsic species. As an emerging type-II Dirac semimetal, 1T-NiTe$_{2}$ has attracted considerable interest in the two-dimensional limit. However, reversible self-intercalation in atomically thin NiTe$_{2}$ has not been reported. Here, we report a reversible self-intercalation process in trilayer 1T-NiTe$_{2}$ synthesized on a graphene substrate via van der Waals epitaxy. Upon post-annealing, Te desorption drives the spontaneous incorporation of Ni atoms into the van der Waals gaps, forming an ordered $\surd 3\times \surd 3$ superstructure, which can be fully reversed under Te-rich conditions. Scanning tunneling microscopy reveals the formation of this superstructure, accompanied by a modulation of the electronic states near the Fermi level. Furthermore, field emission resonance measurements demonstrate a clear modulation of the local work function induced by self-intercalation, indicative of an intercalation-driven redistribution of electronic density. Our work establishes reversible self-intercalation as an effective route for engineering superlattice potentials and tuning surface electronic properties in two-dimensional materials.
    Observation of layer-dependent uniaxial charge density wave in a noble metal alloy superconductor β-IrSn4
    Xiao Liu(刘潇), Geng Li(李更), Shiwei Diao(刁世伟), Haisen Liu(刘海森), Zhen Zhao (赵振), Haitao Yang(杨海涛), Lizhi Zhang(张礼智), Xiao Lin(林晓), and Hong-Jun Gao(高鸿钧)
    Chin. Phys. B, 2026, 35 (8):  087102.  DOI: 10.1088/1674-1056/ae69c6
    Abstract ( 30 )   PDF (2573KB) ( 5 )  
    The AB$_{4}$-type intermetallic compounds host a wide range of emergent quantum phenomena, providing a fertile platform for exploring the interplay between crystal structure and electronic orders. Among them, $\beta $-IrSn$_{4}$ has recently attracted attention as a noble-metal-based layered superconductor with weak interlayer coupling and type-I superconductivity. However, its electronic states and possible symmetry-breaking orders remain largely unexplored on the atomic scale. Here, we report the observation of a layer-dependent uniaxial charge density wave (CDW) in $\beta $-IrSn$_{4}$ using ultra-low-temperature scanning tunneling microscopy. The charge order appears as stripe-like modulations that break the in-plane $C_{4}$ symmetry, and its orientation rotates by 90$^\circ$ between adjacent layers. Spectroscopy measurements reveal a homogeneous superconducting gap coexisting with the layer-dependent CDW, with no detectable modulation from the charge order. First-principles calculations suggest that interlayer coupling induces the observed anisotropic electronic structure. These results reveal a layer-dependent symmetry-breaking electronic state in $\beta $-IrSn$_{4}$ and highlight the role of interlayer interactions in shaping its electronic properties.
    CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES
    Electronegative S/Se co-filled and Fe-substituted p-type skutterudites prepared by high-temperature and high-pressure technique
    Xiaoxu Kang(康晓旭), Hongan Ma(马红安), Xin Fan(范鑫), Mingye Sun(孙明烨), Guihong Zuo(左桂鸿), and Youjin Zheng(郑友进)
    Chin. Phys. B, 2026, 35 (8):  087201.  DOI: 10.1088/1674-1056/ae77d4
    Abstract ( 23 )   PDF (1112KB) ( 12 )  
    Although n-type skutterudites modified by electropositive fillers have been extensively studied, research on p-type skutterudites filled with electronegative elements remains scarce. In this work, a series of sulfur/selenium (S/Se) co-filled and iron (Fe)-doped p-type skutterudite samples with a nominal composition of S$_{0.1-x}$Se$_{x}$Fe$_{0.2}$Co$_{3.8}$Sb$_{12}$ ($x= 0.025$, 0.05, 0.075, 0.1) were rapidly synthesized via the high-temperature and high-pressure (HPHT) technique. Phase analysis indicates that the as-prepared samples possess a pure skutterudite structure without obvious impurity phases. Microstructural observations demonstrate that S/Se co-filling can effectively regulate the grain morphology and the evolution of grain size. Electrical transport measurements reveal that Fe substitution successfully induces p-type conductivity and optimizes the carrier transport behavior. Meanwhile, S/Se co-filling introduces strong phonon scattering, which significantly reduces the lattice thermal conductivity. For the optimal S$_{0.075}$Se$_{0.025}$Fe$_{0.2}$Co$_{3.8}$Sb$_{12}$, fitting based on the Debye-Callaway model confirms that the resonant frequencies of S and Se are 43.96 cm$^{-1}$ and 35 cm$^{-1}$, respectively. Finally, the S$_{0.075}$Se$_{0.025}$Fe$_{0.2}$Co$_{3.8}$Sb$_{12}$ sample achieves a maximum $zT$ value of approximately 0.22 at 673.15 K. This study provides a feasible strategy for constructing electronegative element co-filled p-type skutterudites and deepens the understanding of multiscale phonon scattering mechanisms in thermoelectric materials.
    RAPID COMMUNICATION
    Cubic magnetocrystalline anisotropy-driven spin reorientation in TmIG detected by spin Hall magnetoresistance
    Qinghui Yu(余庆汇), Xue He(贺雪), Yongli Yu(于永利), Xiuqiao Liu(刘修桥), Shilei Ding(丁石磊), and Rui Wu(吴锐)
    Chin. Phys. B, 2026, 35 (8):  087202.  DOI: 10.1088/1674-1056/ae5a14
    Abstract ( 5 )   PDF (4109KB) ( 0 )  
    The precise manipulation and detection of magnetization in magnetic insulators are essential for the development of next-generation spintronic devices. Here, using a heterostructure consisting of a heavy metal and a magnetic garnet thin film, i.e., (111)-oriented Pt/Tm3Fe5O12 (TmIG), we reconstruct the three-dimensional magnetization reversal trajectory using spin Hall magnetoresistance (SMR). It is found that the SMR signal of the heterostructure exhibits abrupt jumps when the magnetic field is scanned along the out-of-plane direction, and this anomalous phenomenon persists at temperatures below 100 K. By employing a three-dimensional Stoner-Wohlfarth model, we demonstrate that this behavior originates from a discontinuous magnetization trajectory with a unique 3m symmetry, which is governed by the competition among the cubic magnetocrystalline anisotropy, magnetoelastic anisotropy, and the Zeeman energy. These results provide a novel strategy for detecting three-dimensional magnetization orientation in magnetic insulators and hold the potential to advance the development of low-energy-consumption spintronic devices.
    CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES
    Band alignment tuning in diamond (100)/CNT heterostructures via surface passivation: First-principles design for high-power nanoelectronics
    Linan Ma(马利南), Rui Ma(马锐), Jieyi Huang(黄婕伊), Yongsheng Yao(姚永胜), Tao Ouyang(欧阳滔), Juexian Cao(曹觉先), and Xiaolin Wei(魏晓林)
    Chin. Phys. B, 2026, 35 (8):  087301.  DOI: 10.1088/1674-1056/ae1453
    Abstract ( 6 )   PDF (1379KB) ( 0 )  
    Benefiting from the high electron mobility and ultra-thin geometric features, carbon nanotubes (CNTs) exhibit great potential as semiconductor channel materials in micro/nano electronic devices. Diamond (Dia), with superior hardness and chemical inertness, is an ideal substrate material for CNT-based electronic devices. In this study, using first-principles calculations, we systematically investigate the effect of surface reconstruction and passivation on the electronic structure of the heterojunction formed by the Dia (100) surface and CNT, as well as the associated band alignment at the interface. Our calculations indicate that surface reconstruction and passivation treatments could facilitate the formation of a type-I heterojunction between Dia (100) and CNT, which meets the performance criteria required for CNT-based electronic applications. More importantly, oxygen passivation could result in both the conduction band offset (CBO) and valence band offset (VBO) between Dia (100) and CNT being greater than 1.0 eV. The findings presented in this work demonstrate the critical role of surface reconstruction and passivation in enhancing the performance of CNT-based high-performance radio frequency (RF) and optoelectronic devices. They also provide valuable insights for optimizing CNT field-effect transistor (FET) interfaces.
    RAPID COMMUNICATION
    Evidence of structural transition and spin-lattice coupling in antiferromagnetic MnSi2Te4
    Z Y Pang(庞兆宇), K Liao(了可), S J Zhang(张圣杰), Rao Fei(费饶), Cui Zhang(张萃), Richeng Yu(禹日成), Gang Wang(王刚), Sheng Meng(孟胜), and Jimin Zhao(赵继民)
    Chin. Phys. B, 2026, 35 (8):  087401.  DOI: 10.1088/1674-1056/ae64d5
    Abstract ( 7 )   PDF (1540KB) ( 0 )  
    Layered van der Waals magnetic chalcogenides provide an important platform for exploring the interplay between lattice dynamics and magnetic correlations in low-dimensional systems. Here, we present a comprehensive temperature-dependent Raman spectroscopy study of a layered antiferromagnetic semiconductor MnSi2Te4, which exhibits large negative magnetoresistance. Several Raman modes exhibit pronounced and mode-selective anomalies in frequency, linewidth, and intensity near the antiferromagnetic Néel temperature (18.6 K) and a possible hidden phase transition temperature (100 K), whereby deviations from Curie-Weiss behavior in magnetic susceptibility were previously reported. Angle-resolved polarized Raman spectroscopy (ARPRS) measurements reveal distinct polarization-dependent responses for different Raman modes. These results indicate a nontrivial coupling between lattice vibrations and magnetic ordering in MnSi2Te4, and demonstrate Raman spectroscopy as an effective probe of structural phase transition and spin-lattice coupling in van der Waals magnets.
    CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES
    A cluster calculation investigation of A- and B-sites-ordered perovskite oxide CaCu3Fe2Os2O12
    Xiao Wang(王潇), Stefano Agrestini, Arata Tanaka, Zhiwei Hu(胡志伟), and Youwen Long(龙有文)
    Chin. Phys. B, 2026, 35 (8):  087501.  DOI: 10.1088/1674-1056/ae1204
    Abstract ( 11 )   PDF (441KB) ( 3 )  
    Taking the quadruple perovskite oxide CaCu$_{3}$Fe$_{2}$Os$_{2}$O$_{12}$ as an example, by performing both experimental sum rules and theoretical configuration interaction cluster calculations, we have investigated the spin and orbital configurations of all the transition metal cations, Cu, Fe, and Os, as well as their local microscopic physical parameters of crystal field, spin-orbit coupling (SOC), Coulomb potential, and hybridization. Specifically, we found that Os$^{5+}$ (5d$^{3}$) with a half-filled t$_{\rm 2g}$ orbital exhibits a large orbital moment on account of the mixing of t$_{\rm 2g}$ and e$_{\rm g}$ orbitals, which can be ascribed to the strong SOC of the 5d elements. On the other hand, SOC of the Cu$^{2+}$ (3d$^{9}$) is markedly reduced, but is still nonnegligible compared to the crystal field $10Dq$, leading to a finite orbital moment of Cu$^{2+}$. This work provides a microscopic and element-selective perspective of the local environment of magnetic cations in complex compounds.
    First-principles calculations of stability, optical properties, and non-radiative hole capture rates of carbon defects in wurtzite AlGaN alloys
    Qian-Ji Wang(王千觊), Hao-Rui He(贺浩锐), Fang-Jing Kang(康芳静), Ze Peng(彭泽), Lin Shi(石林), Shao-Qiang Guo(郭少强), Juan Lyu(吕娟), Hai-Shan Zhang(张海山), and Jian Gong(宫箭)
    Chin. Phys. B, 2026, 35 (8):  087701.  DOI: 10.1088/1674-1056/ae156a
    Abstract ( 8 )   PDF (673KB) ( 2 )  
    AlGaN alloy has a wide range of applications in ultraviolet photodetectors. Carbon defects, though detrimental as carrier capture centers, offer a tunable pathway for defect-mediated optoelectronic engineering in AlGaN alloys. By combining first-principles calculations with configurational sampling, we systematically resolve the thermodynamic stability of Al$_{x}$Ga$_{1-x}$N ($x = 0.33$, 0.50, 0.61) alloy, and determine that the carbon atom will occupy the nitrogen point position. Taking into account $c$-axis polarity of {wurtzite} structure and carbon-on-nitrogen substitutional defect (C$_{\rm N}$) nearest neighbor atomic arrangement, the eight possible configurations are constructed, and the polarity has little effect on the total energy ($\Delta E$ is 0.02 eV-0.07 eV). After ignoring the $c$-axis polarity, the formation energy of 8 possible C$_{\rm N}$ defect configurations increases linearly with the number of Al neighbors ($n = 0$, 1, 2, 3, 4, meaning the number of Ga neighbors is 4, 3, 2, 1, 0), and the influence of different configurations on the transition level is less than 0.2 eV. Because the formation energy difference of five configurations is less than 1.22 eV, all these defect configurations may appear in the actual growth process of AlGaN alloy. In addition, the calculation results of the optical transition process show that the photoabsorption (PA) and photoluminescence (PL) energies are also linear with the Al contents. For the non-radiative recombination process of defect transition levels, since the 5 possible configurations produce a transition level fluctuation within 0.18 eV, each 0.1-eV energy fluctuation corresponds to an order of magnitude in the hole capture cross-section fluctuation. Strategic Al content modulation enables precise tuning of defect transition levels, offering a direct route to suppress non-radiative recombination in ultraviolet (UV) photodetectors.
    REVIEW
    Photoluminescence in transition metal dichalcogenides: Towards high quantum yield
    Xin Yan(闫欣), Weijia Tang(汤唯佳), Guilong Gao(高贵龙), Kai He(何凯), Dong Yao(姚东), Butian Zhang(张卜天), Shun Wang(王顺), and Youwei Zhang(张有为)
    Chin. Phys. B, 2026, 35 (8):  087801.  DOI: 10.1088/1674-1056/ae60f1
    Abstract ( 7 )   PDF (3205KB) ( 0 )  
    Owing to their atomic-level thickness, strong light-matter interaction, and wide range of bandgap tunability, transition metal dichalcogenides (TMDCs) hold great promise as light-emitting materials. Research on photoluminescence (PL) plays an indispensable role in the development of related fields, with efficiency being one of the most critical metrics for evaluating luminescence performance. Distinct from conventional direct-bandgap semiconductors, the unique exciton luminescence characteristics of TMDCs have established a new paradigm for investigating PL properties while simultaneously posing fresh challenges for modulating PL efficiency. Consequently, the study of PL efficiency modulation in TMDCs carries both fundamental physical significance and engineering application value. Based on an understanding of exciton physics in TMDCs, this review first summarizes strategies for enhancing PL quantum yield (QY) under low generation rates, including doping, defect engineering, interface engineering, and optical engineering. Subsequently, several strategies for suppressing exciton-exciton annihilation (EEA) under high generation rates are introduced. Finally, the current challenges are summarized, and an outlook on future development directions is provided.
    INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY
    High-quality GaAs/InSb core-shell nanowires grown by molecular-beam epitaxy
    Ran Zhuo(卓然), Haiyan Shi(师海彦), Donghai Li(李东海), Xiyu Hou(侯曦宇), Yukun Yin(殷钰坤), Dong Pan(潘东), and Jianhua Zhao(赵建华)
    Chin. Phys. B, 2026, 35 (8):  088101.  DOI: 10.1088/1674-1056/ae12db
    Abstract ( 3 )   PDF (4361KB) ( 0 )  
    High-quality GaAs/InSb core-shell nanowires have garnered significant research interest owing to the exceptional properties of InSb, including its high electron mobility, strong spin-orbit coupling, and large g-factor, which are pivotal for advanced electronics and quantum technologies. Concurrently, GaAs/InSb core-shell nanowires have been extensively investigated due to their potential in realizing topological insulators and enabling dissipationless edge state transport, characteristics analogous to those sought in InAs/GaSb systems. However, the substantial lattice mismatch (~ 14.6%) between GaAs and InSb poses considerable challenges in achieving high-quality heteroepitaxial shells. Detailed investigations into the growth, microstructure, and strain distribution within such systems remain limited. Here, we demonstrate the successful growth of high-quality GaAs/InSb core-shell nanowires via molecular-beam epitaxy, utilizing self-catalyzed pure zinc blende GaAs nanowire cores. Through systematic optimization, we identified that an InSb shell growth temperature of 390 ℃ and an Sb/In beam equivalent pressure ratio of 4.36 are crucial for obtaining smooth, continuous shells with uniform thickness. Advanced transmission electron microscopy analysis confirmed the epitaxial zinc-blende structures of both the core and shell, revealing a dislocation density of approximately 50 μm-1 in the InSb shell, notwithstanding the lattice mismatch. Cross-sectional strain mapping, conducted via geometric phase analysis, unveiled a ~ 15% compressive strain at the GaAs/InSb interface, along with complex residual strain within the shell, attributed to the hexagonal nanowire geometry. Field-effect transistors fabricated with back-gated configurations exhibited n-type conduction, with a room-temperature carrier mobility of 50 cm2·V-1·s-1 and Ohmic behavior. Our work provides useful insights for the growth and optimization of other highly mismatched core-shell nanowires, thereby facilitating their integration into complex device architectures.
    Improvements in reverse characteristics of diamond Schottky diodes by neutron irradiation
    Yang-Fan Li(李洋帆), Wu-Ying Ma(马武英), Ruo-Zheng Wang(王若铮), Hong-Xia Guo(郭红霞), Lin-Yue Liu(刘林月), Ze-long Niu(牛泽隆), Ru-Xue Bai(白如雪), Ji-Fang Li(李济芳), Qi Li(李奇), Hong-Xing Wang(王宏兴), and Xiao-Ping Ou-Yang(欧阳晓平)
    Chin. Phys. B, 2026, 35 (8):  088104.  DOI: 10.1088/1674-1056/ae0b37
    Abstract ( 9 )   PDF (590KB) ( 1 )  
    Diamond is emerging as a promising material for space applications due to its unique properties and potential high performance in extreme environments. In this work, we systematically study the impact of 1 MeV equivalent neutron irradiation on diamond Schottky barrier diodes (SBDs). According to current-voltage ($I$-$V$) measurements, the Schottky barrier height ($\varPhi_{\rm B}$) of the diamond SBD was increased from 1.23 eV to 1.32 eV, the ideality factor ($n$) was reduced from 1.88 to 1.66, and the reverse breakdown voltage increased by 100 V after neutron irradiation. Furthermore, the carrier concentration across the diamond drift layer was observed to decrease from $5.91 \times 10^{15}$ cm$^{-3}$ to $5.15 \times 10^{15}$ cm$^{-3}$ based on the capacitance-voltage ($C$-$V$) measurement. Moreover, the low-frequency noise analysis also indicated a decrease. Considering the changes in device performance, the metal/semiconductor interface traps were slightly reduced, and the Schottky barrier was significantly improved.
    REVIEW
    Surface plasmons regulate photon absorbance, photo response and carrier injection in Ga2O3 photodetectors
    Zhi-Kang Song(宋志康), Xiang-Xi Meng(孟祥熙), Pu-Yang Gao(高溥阳), Jia-Han Zhang(张嘉汉), and Zeng Liu(刘增)
    Chin. Phys. B, 2026, 35 (8):  088501.  DOI: 10.1088/1674-1056/ae5f07
    Abstract ( 28 )   PDF (6987KB) ( 10 )  
    Ultrawide bandgap semiconductor gallium oxide (Ga$_{2}$O$_{3}$), with a natural bandgap of approximately 4.9 eV, has been extensively utilized in constructing solar-blind deep ultraviolet (DUV) photodetectors. To address the persistent challenges of high dark current and low photoresponsivity, metal nanostructured surface plasmons have been introduced to generate localized electric fields, thereby enhancing photodetection performance. Incident photons excite hot electrons within the metallic structures, which are subsequently injected into the photoactive semiconductor layer. When the resonance peak of the plasmonic structure matches the absorption peak of Ga$_{2}$O$_{3}$ layer, localized surface plasmon resonance (LSPR) significantly boosts photon absorption and responsivity. Concurrently, the localized interfacial barrier restricts carrier transport, effectively suppressing dark current. This enhancement stems from charge density oscillations within the metallic nanoparticles, facilitating strong plasmon-exciton coupling. In this review, we systematically discuss Ga$_{2}$O$_{3}$-based solar-blind DUV photodetectors decorated with metal nanostructures, covering photoconductive, array, and heterojunction architectures. Furthermore, advances in broadband detection mechanisms, complex plasmonic designs, and subwavelength optics are explored. Compared with conventional devices, plasmon-enhanced photodetectors typically exhibit responsivity improvements from $\sim 0.1$ A/W to over tens of A/W and reduced dark current by 1-2 orders of magnitude. Finally, current challenges and future perspectives are outlined. However, challenges such as poor controllability of nanoparticle distribution, stability issues, and the trade-off between enhanced responsivity and increased noise remain to be addressed.
    INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY
    Early identification of subjective cognitive decline using 2D horizontal visibility graph analysis of structural MRI networks
    Huang-Jing Ni(倪黄晶), Yu-Fei Dai(戴雨菲), Ye Wu(吴烨), Jiao-Long Qin(秦姣龙), and for the Alzheimer's Disease Neuroimaging Initiative (ADNI)
    Chin. Phys. B, 2026, 35 (8):  088701.  DOI: 10.1088/1674-1056/ae2670
    Abstract ( 9 )   PDF (1607KB) ( 1 )  
    Subjective cognitive decline (SCD) represents a preclinical stage of Alzheimer's disease, yet objective evaluation criteria for early diagnosis remain lacking. Traditional morphometric indicators, such as gray matter volume or density, overlook local voxel features and inter-voxel associations. To address this limitation, this study introduces a two-dimensional horizontal visibility graph (2DHVG) analysis method to identify brain structural abnormalities in SCD patients. Each axial slice of gray matter images was converted into a 2DHVG, and complex network features, including clustering coefficient and betweenness centrality, were extracted to characterize local connectivity and global information transmission capacity. Principal component analysis and light gradient boosting machine were employed for feature selection and classification. The 2DHVG-based method achieved excellent performance in SCD identification, with a mean classification AUC of 0.958, mean accuracy of 89.0 %, mean sensitivity of 86.1 %, mean specificity of 90.3 %, and mean F1-score of 82.9 %. Furthermore, significant positive correlations were observed between the mean clustering coefficient and both ADNI working memory (ADNI_MEM, $R=0.3339$, $P=0.0014$) and learning ability indicators (RAVLT.learning, $R=0.3531$, $P=0.0007$). The mean betweenness centrality similarly correlated with ADNI_MEM ($R=0.3018$, $P=0.0041$) and RAVLT.learning ($R=0.3149$, $P=0.0027$). The 2DHVG-based structural imaging analysis method demonstrates significant advantages in feature extraction and classification modeling, providing novel insights for graph-theoretic modeling of structural MRI data in early SCD identification.
ISSN 1674-1056   CN 11-5639/O4
, Vol. 35, No. 8

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