| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Level Statistics Crossover of Chiral Surface States in a Three-Dimensional Quantum Hall System |
| Rubah Kausar1, Chao Zheng1*, and Xin Wan1,2 |
1Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China
2CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China
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| Cite this article: |
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Rubah Kausar, Chao Zheng, and Xin Wan 2021 Chin. Phys. Lett. 38 057306 |
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Abstract Recent experiments have demonstrated the realization of the three-dimensional quantum Hall effect in highly anisotropic crystalline materials, such as ZrTe$_{5}$ and BaMnSb$_{2}$. Such a system supports chiral surface states in the presence of a strong magnetic field, which exhibit a one-dimensional metal-insulator crossover due to suppression of surface diffusion by disorder potential. We study the nontrivial surface states in a lattice model and find a wide crossover of the level-spacing distribution through a semi-Poisson distribution. We also discover a nonmonotonic evolution of the level statistics due to the disorder-induced mixture of surface and bulk states.
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Received: 29 December 2020
Published: 02 May 2021
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| PACS: |
73.43.-f
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(Quantum Hall effects)
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73.20.At
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(Surface states, band structure, electron density of states)
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73.20.Fz
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(Weak or Anderson localization)
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| Fund: Supported by the National Natural Science Foundation of China (Grant No. 11674282), and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000). |
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