Hall conductance of a non-Hermitian two-band system with k-dependent decay rates

被引:2
|
作者
Wang, Junjie [1 ,2 ]
Li, Fude [1 ,2 ]
Yi, Xuexi [1 ,2 ,3 ,4 ]
机构
[1] Northeast Normal Univ, Ctr Quantum Sci, Changchun 130024, Peoples R China
[2] Northeast Normal Univ, Sch Phys, Changchun 130024, Peoples R China
[3] Northeast Normal Univ, Ctr Adv Optoelect Funct Mat Res, Changchun 130024, Peoples R China
[4] Northeast Normal Univ, Key Lab UV Emitting Mat & Technol, Minist Educ, Changchun 130024, Peoples R China
基金
中国国家自然科学基金;
关键词
Hall conductance; non-Hermitian; topological insulators; BOUND-STATES;
D O I
10.1088/1674-1056/ac9046
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Two-band model works well for Hall effect in topological insulators. It turns out to be non-Hermitian when the system is subjected to environments, and its topology characterized by Chern numbers has received extensive studies in the past decades. However, how a non-Hermitian system responses to an electric field and what is the connection of the response to the Chern number defined via the non-Hermitian Hamiltonian remains barely explored. In this paper, focusing on a k-dependent decay rate, we address this issue by studying the response of such a non-Hermitian Chern insulator to an external electric field. To this aim, we first derive an effective non-Hermitian Hamiltonian to describe the system and give a specific form of k-dependent decay rate. Then we calculate the response of the non-Hermitian system to a constant electric field. We observe that the environment leads the Hall conductance to be a weighted integration of curvature of the ground band and hence the conductance is no longer quantized in general. And the environment induces a delay in the response of the system to the electric field. A discussion on the validity of the non-Hermitian model compared with the master equation description is also presented.
引用
收藏
页数:9
相关论文
共 50 条
  • [41] A plasmonic waveguide end-coupled to two plasmonic cavities in a non-Hermitian quantum system for dual-band unidirectional reflectionlessness
    Hang Yang
    Fei Zhao
    Ling-Xue Yu
    De-Xiu Qiu
    Cheng-Shou An
    Ying-Qiao Zhang
    Xing-Ri Jin
    CommunicationsinTheoreticalPhysics, 2021, 73 (03) : 77 - 81
  • [42] Modeling Intermolecular Coulombic Decay with Non-Hermitian Real-Time Time-Dependent Density Functional Theory
    Wang, Yi-Siang
    Manis, James X. Zhong
    Rohan, Matthew C.
    Orlando, Thomas M.
    Kretchmer, Joshua S.
    JOURNAL OF PHYSICAL CHEMISTRY LETTERS, 2024, 15 (30): : 7806 - 7813
  • [43] The duality between a non-Hermitian two-state quantum system and a massless charged particle
    Botet, Robert
    Kuratsuji, Hiroshi
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2019, 52 (03)
  • [44] Exceptional points and dynamics of a non-Hermitian two-level system without PT symmetry
    Wang, Qiu
    Wang, Jiao
    Shen, H. Z.
    Hou, S. C.
    Yi, X. X.
    EPL, 2020, 131 (03)
  • [45] Unidirectional reflectionlessness in a non-Hermitian quantum system of surface plasmon coupled to two plasmonic cavities
    Qiu, De-Xiu
    Bai, Ruiping
    Zhang, Cong
    Xin, Li-Fang
    Zou, Xin-Yu
    Zhang, Ying Qiao
    Jin, Xing Ri
    An, Chengshou
    Zhang, Shou
    QUANTUM INFORMATION PROCESSING, 2019, 18 (01)
  • [46] Unconventional steady states and topological phases in an open two-level non-Hermitian system
    Xu, Jian
    Guo, Youneng
    NEW JOURNAL OF PHYSICS, 2022, 24 (05):
  • [47] Unidirectional reflectionlessness in a non-Hermitian quantum system of surface plasmon coupled to two plasmonic cavities
    De-Xiu Qiu
    Ruiping Bai
    Cong Zhang
    Li-Fang Xin
    Xin-Yu Zou
    Ying Qiao Zhang
    Xing Ri Jin
    Chengshou An
    Shou Zhang
    Quantum Information Processing, 2019, 18
  • [48] One-dimensional one-band topologically nontrivial non-Hermitian system simulated in optical cavities
    Sun, Bo-Ye
    Zhou, Zheng-Wei
    PHYSICAL REVIEW A, 2020, 102 (02)
  • [49] Active controlled dual-band unidirectional reflectionlessness by classical driving field in non-Hermitian quantum system
    Yang, Hang
    Qiu, De Xiu
    Zou, Xin Yu
    An, Chengshou
    Zhang, Ying Qiao
    Jin, Xing Ri
    QUANTUM SCIENCE AND TECHNOLOGY, 2020, 5 (04)
  • [50] Dual-band unidirectional reflectionlessness in non-Hermitian quantum system consisting of a gain and a loss plasmonic cavities
    Qiu, De-Xiu
    Zou, Xin-Yu
    Liu, Yingming
    Yang, Hang
    Yu, Lingxue
    Zhang, Ying-Qiao
    Jin, Xing-Ri
    An, Chengshou
    Zhang, Shou
    QUANTUM INFORMATION PROCESSING, 2019, 18 (09)