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Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems |
| Jiong-Hao Wang1, Yu-Liang Tao1, and Yong Xu1,2* |
1Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, China
2Shanghai Qi Zhi Institute, Shanghai 200030, China
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| Cite this article: |
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Jiong-Hao Wang, Yu-Liang Tao, and Yong Xu 2022 Chin. Phys. Lett. 39 010301 |
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Abstract Non-Hermitian materials can exhibit not only exotic energy band structures but also an anomalous velocity induced by non-Hermitian anomalous Berry connection as predicted by the semiclassical equations of motion for Bloch electrons. However, it is unclear how the modified semiclassical dynamics modifies transport phenomena. Here, we theoretically demonstrate the emergence of anomalous oscillations driven by either an external dc or ac electric field, which arise from non-Hermitian anomalous Berry connection. Moreover, it is a well-known fact that geometric structures of electric wave functions can only affect the Hall conductivity. However, we are surprised to find a non-Hermitian anomalous Berry connection induced anomalous linear longitudinal conductivity independent of the scattering time. We also show the emergence of a second-order nonlinear longitudinal conductivity induced by non-Hermitian anomalous Berry connection, violating a well-known fact of its absence in a Hermitian system with symmetric energy spectra. These anomalous phenomena are illustrated in a pseudo-Hermitian system with large non-Hermitian anomalous Berry connection. Finally, we propose a practical scheme to realize the anomalous oscillations in an optical system.
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Received: 12 November 2021
Express Letter
Published: 16 December 2021
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| PACS: |
03.65.Vf
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(Phases: geometric; dynamic or topological)
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72.90.+y
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(Other topics in electronic transport in condensed matter)
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