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Hall conductance of a non-Hermitian two-band system with k-dependent decay rates |
| Junjie Wang(王俊杰)1, Fude Li(李福德)1, and Xuexi Yi(衣学喜)1,2,† |
1 Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China;
2 Center for Advanced Optoelectronic Functional Materials Research, and Key Laboratory for UV-Emitting Materials and Technology of Ministry of Education, Northeast Normal University, Changchun 130024, China |
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Abstract 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.
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Received: 08 March 2022
Revised: 17 August 2022
Accepted manuscript online: 08 September 2022
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PACS:
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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| Fund: The authors acknowledge Hongzhi Shen and Weijun Cheng for helpful comments. This work was supported by the National Natural Science Foundation of China (Grant Nos. 12175033 and 12147206). |
Corresponding Authors:
Xuexi Yi
E-mail: yixx@nenu.edu.cn
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Cite this article:
Junjie Wang(王俊杰), Fude Li(李福德), and Xuexi Yi(衣学喜) Hall conductance of a non-Hermitian two-band system with k-dependent decay rates 2023 Chin. Phys. B 32 020305
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