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    2026年, 第35卷, 第8期 刊出日期:2026-07-23 上一期   
    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)
    2026 (8):  80203-080203.  doi: 10.1088/1674-1056/ae29ff
    摘要 ( 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.
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    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)
    2026 (8):  80204-080204.  doi: 10.1088/1674-1056/ae5c8a
    摘要 ( 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.
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    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)
    2026 (8):  80301-080301.  doi: 10.1088/1674-1056/ae6cce
    摘要 ( 23 )   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.
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    Hierarchy of average correlation, quantum steering and Bell nonlocality in two-qubit systems
    Qinglong Tian(田清龙) and Youneng Guo(郭有能)
    2026 (8):  80302-080302.  doi: 10.1088/1674-1056/ae6b38
    摘要 ( 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.
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    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)
    2026 (8):  80303-080303.  doi: 10.1088/1674-1056/ae85f7
    摘要 ( 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).
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    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)
    2026 (8):  80505-080505.  doi: 10.1088/1674-1056/ae1455
    摘要 ( 6 )   PDF(5646KB) ( 1 )  
    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.
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    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)
    2026 (8):  80506-080506.  doi: 10.1088/1674-1056/ae3db8
    摘要 ( 14 )   PDF(423KB) ( 3 )  
    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.
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    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)
    2026 (8):  80702-080702.  doi: 10.1088/1674-1056/ae6b40
    摘要 ( 24 )   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.
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    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)
    2026 (8):  83201-083201.  doi: 10.1088/1674-1056/ae6ccf
    摘要 ( 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.
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    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)
    2026 (8):  83701-083701.  doi: 10.1088/1674-1056/ae15f9
    摘要 ( 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.
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    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)
    2026 (8):  84207-084207.  doi: 10.1088/1674-1056/ae156d
    摘要 ( 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.
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    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)
    2026 (8):  84211-084211.  doi: 10.1088/1674-1056/ae86db
    摘要 ( 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.
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    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)
    2026 (8):  85201-085201.  doi: 10.1088/1674-1056/ae1567
    摘要 ( 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.
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    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)
    2026 (8):  86101-086101.  doi: 10.1088/1674-1056/ae1457
    摘要 ( 12 )   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.
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    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)
    2026 (8):  86801-086801.  doi: 10.1088/1674-1056/ae82e5
    摘要 ( 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.
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    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)
    2026 (8):  86802-086802.  doi: 10.1088/1674-1056/ae66dd
    摘要 ( 18 )   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.
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    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)
    2026 (8):  87101-087101.  doi: 10.1088/1674-1056/ae64d7
    摘要 ( 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.
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    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)
    2026 (8):  87102-087102.  doi: 10.1088/1674-1056/ae69c6
    摘要 ( 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.
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    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)
    2026 (8):  87201-087201.  doi: 10.1088/1674-1056/ae77d4
    摘要 ( 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.
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    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)
    2026 (8):  87501-087501.  doi: 10.1088/1674-1056/ae1204
    摘要 ( 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.
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    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)
    2026 (8):  87701-087701.  doi: 10.1088/1674-1056/ae156a
    摘要 ( 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.
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    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)
    2026 (8):  88104-088104.  doi: 10.1088/1674-1056/ae0b37
    摘要 ( 5 )   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.
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    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)
    2026 (8):  88501-088501.  doi: 10.1088/1674-1056/ae5f07
    摘要 ( 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.
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    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)
    2026 (8):  88701-088701.  doi: 10.1088/1674-1056/ae2670
    摘要 ( 8 )   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.
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