Level Statistics Crossover of Chiral Surface States in a Three-Dimensional Quantum Hall System
Rubah Kausar1 , Chao Zheng1* , and Xin Wan1,2
1 Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China2 CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China
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.
收稿日期: 2020-12-29
出版日期: 2021-05-02
:
73.43.-f
(Quantum Hall effects)
73.20.At
(Surface states, band structure, electron density of states)
73.20.Fz
(Weak or Anderson localization)
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2021, Vol. 38 
