Level Statistics Crossover of Chiral Surface States in a Three-Dimensional Quantum Hall System

被引:0
作者
Kausar, Rubah [1 ]
Zheng, Chao [1 ]
Wan, Xin [1 ,2 ]
机构
[1] Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China
[2] Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100190, Peoples R China
基金
中国国家自然科学基金;
关键词
METAL-INSULATOR-TRANSITION; DIRECTED NETWORK MODEL; CONDUCTANCE; FLUCTUATIONS; LOCALIZATION; FIELD;
D O I
10.1088/0256-307X/38/5/057306
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Recent experiments have demonstrated the realization of the three-dimensional quantum Hall effect in highly anisotropic crystalline materials, such as ZrTe5 and BaMnSb2. 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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页数:5
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共 42 条
  • [21] Reentrant metallic behavior of graphite in the quantum limit
    Kopelevich, Y
    Torres, JHS
    da Silva, RR
    Mrowka, F
    Kempa, H
    Esquinazi, P
    [J]. PHYSICAL REVIEW LETTERS, 2003, 90 (15) : 4
  • [22] Random network models and quantum phase transitions in two dimensions
    Kramer, B
    Ohtsuki, T
    Kettemann, S
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2005, 417 (5-6): : 211 - 342
  • [23] Liu J Y, 2019, ARXIV190706318CONDMA
  • [24] Quantum Hall effect in a bulk antiferromagnet EuMnBi2 with magnetically confined two-dimensional Dirac fermions
    Masuda, Hidetoshi
    Sakai, Hideaki
    Tokunaga, Masashi
    Yamasaki, Yuichi
    Miyake, Atsushi
    Shiogai, Junichi
    Nakamura, Shintaro
    Awaji, Satoshi
    Tsukazaki, Atsushi
    Nakao, Hironori
    Murakami, Youichi
    Arima, Taka-hisa
    Tokura, Yoshinori
    Ishiwata, Shintaro
    [J]. SCIENCE ADVANCES, 2016, 2 (01):
  • [25] Chiral metal as a Heisenberg ferromagnet
    Mathur, H
    [J]. PHYSICAL REVIEW LETTERS, 1997, 78 (12) : 2429 - 2432
  • [26] MEHTA ML, 1991, RANDOM MATRICES
  • [27] Statistics of energy levels and eigenfunctions in disordered systems
    Mirlin, AD
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 326 (5-6): : 259 - 382
  • [28] Conductances, conductance fluctuations, and level statistics on the surface of multilayer quantum Hall states
    Plerou, V
    Wang, ZQ
    [J]. PHYSICAL REVIEW B, 1998, 58 (04) : 1967 - 1979
  • [29] Prange R. E., 2012, The Quantum Hall Effect
  • [30] Theory for the Charge-Density-Wave Mechanism of 3D Quantum Hall Effect
    Qin, Fang
    Li, Shuai
    Du, Z. Z.
    Wang, C. M.
    Zhang, Wenqing
    Yu, Dapeng
    Lu, Hai-Zhou
    Xie, X. C.
    [J]. PHYSICAL REVIEW LETTERS, 2020, 125 (20)