中国物理B ›› 2023, Vol. 32 ›› Issue (6): 67104-067104.doi: 10.1088/1674-1056/acc0f4

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Symmetry-constrained quantum coupling in non-Fermi-liquid transport

Rong Li(李荣)1,2 and Zhen-Su She(佘振苏)1,†   

  1. 1 State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, China;
    2 Key Laboratory of Coastal Environment and Resources of Zhejiang Province, School of Engineering, Westlake University, Hangzhou 310030, China
  • 收稿日期:2022-09-24 修回日期:2023-03-02 接受日期:2023-03-03 出版日期:2023-05-17 发布日期:2023-05-30
  • 通讯作者: Zhen-Su She E-mail:she@pku.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 91952201 and 11452002).

Symmetry-constrained quantum coupling in non-Fermi-liquid transport

Rong Li(李荣)1,2 and Zhen-Su She(佘振苏)1,†   

  1. 1 State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, China;
    2 Key Laboratory of Coastal Environment and Resources of Zhejiang Province, School of Engineering, Westlake University, Hangzhou 310030, China
  • Received:2022-09-24 Revised:2023-03-02 Accepted:2023-03-03 Online:2023-05-17 Published:2023-05-30
  • Contact: Zhen-Su She E-mail:she@pku.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 91952201 and 11452002).

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摘要： Finding the common origin of non-Fermi liquids (NFLs) transport in high-temperature superconductors (HTSCs) has proven to be fundamentally challenging due to the prominence of various collective fluctuations. Here, we propose a comprehensive non-Hermitian Hamiltonian (NHH) for quantum coupling of multiple scattering mechanisms associated with four types of order fluctuations. It predicts that the anticommutation symmetry of the spinor fermions constrains the scattering rate to a unified quadrature scaling, i.e., $ǎrGamma=ǎrGamma_{\rm I} + \sqrt{ǎrGamma_{\rm Q}^{2}+(\mu k_{\rm B}T)^{2}+(\nu\mu_{\rm B}B )^{2} + ( \gamma_{E}E )^{2}}$. This scaling yields a comprehensive and accurate description of two widespread NFL behaviors in HTSCs, i.e., a temperature-scaling crossover between quadratic and linear laws and the quadrature magnetoresistance, validated by several dozens of data sets for broad phase regimes. It reveals that the common origin of these behaviors is the spinor-symmetry-constrained quantum coupling of spin-wave and topological excitations of mesoscopic orders. Finally, we show that this NHH can be easily extended to other complex quantum fluids by specifying the corresponding symmetries. It is concluded that this work uncovers a critical organization principle (i.e., the spinor symmetry) underlying the NFL transport, thus providing a novel theoretical framework to advance the transport theory of correlated electron systems.

关键词: non-Fermi liquid, non-Hermitian Hamiltonian, anticommutation symmetry, quantum coupling, multiple scattering mechanisms

Abstract: Finding the common origin of non-Fermi liquids (NFLs) transport in high-temperature superconductors (HTSCs) has proven to be fundamentally challenging due to the prominence of various collective fluctuations. Here, we propose a comprehensive non-Hermitian Hamiltonian (NHH) for quantum coupling of multiple scattering mechanisms associated with four types of order fluctuations. It predicts that the anticommutation symmetry of the spinor fermions constrains the scattering rate to a unified quadrature scaling, i.e., $ǎrGamma=ǎrGamma_{\rm I} + \sqrt{ǎrGamma_{\rm Q}^{2}+(\mu k_{\rm B}T)^{2}+(\nu\mu_{\rm B}B )^{2} + ( \gamma_{E}E )^{2}}$. This scaling yields a comprehensive and accurate description of two widespread NFL behaviors in HTSCs, i.e., a temperature-scaling crossover between quadratic and linear laws and the quadrature magnetoresistance, validated by several dozens of data sets for broad phase regimes. It reveals that the common origin of these behaviors is the spinor-symmetry-constrained quantum coupling of spin-wave and topological excitations of mesoscopic orders. Finally, we show that this NHH can be easily extended to other complex quantum fluids by specifying the corresponding symmetries. It is concluded that this work uncovers a critical organization principle (i.e., the spinor symmetry) underlying the NFL transport, thus providing a novel theoretical framework to advance the transport theory of correlated electron systems.

Key words: non-Fermi liquid, non-Hermitian Hamiltonian, anticommutation symmetry, quantum coupling, multiple scattering mechanisms

中图分类号:  (Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems)

  • 71.10.Hf
31.30.jy (Higher-order effective Hamiltonians) 11.30.Fs (Global symmetries (e.g., baryon number, lepton number)) 75.25.Dk (Orbital, charge, and other orders, including coupling of these orders)