Current carrying states in the disordered quantum anomalous Hall effect  

作　　者：Yi-Ming Dai Si-Si Wang Yan Yu Ji-Huan Guan Hui-Hui Wang Yan-Yang Zhang 戴镒明;王思思;禹言;关济寰;王慧慧;张艳阳(School of Physics and Materials Science,Guangzhou University,Guangzhou 510006,China;Research Center for Advanced Information Materials,Guangzhou University,Guangzhou 510006,China;School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China;SKLSM,Institute of Semiconductors,Chinese Academy of Sciences,Beijing 100083,China;School of Physical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China;Beijing Academy of Quantum Information Sciences,Beijing 100193,China;Huangpu Research and Graduate School of Guangzhou University,Guangzhou 510700,China)

机构地区：[1]School of Physics and Materials Science,Guangzhou University,Guangzhou 510006,China [2]Research Center for Advanced Information Materials,Guangzhou University,Guangzhou 510006,China [3]School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China [4]SKLSM,Institute of Semiconductors,Chinese Academy of Sciences,Beijing 100083,China [5]School of Physical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China [6]Beijing Academy of Quantum Information Sciences,Beijing 100193,China [7]Huangpu Research and Graduate School of Guangzhou University,Guangzhou 510700,China

出　　处：《Chinese Physics B》2022年第9期476-481,共6页中国物理B（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Grant Nos.11774336,12104108,and 61427901);the Starting Research Fund from Guangzhou University(Grant Nos.RQ2020082 and 62104360).

摘　　要：In a quantum Hall effect,flat Landau levels may be broadened by disorder.However,it has been found that in the thermodynamic limit,all extended(or current carrying)states shrink to one single energy value within each Landau level.On the other hand,a quantum anomalous Hall effect consists of dispersive bands with finite widths.We numerically investigate the picture of current carrying states in this case.With size scaling,the spectrum width of these states in each bulk band still shrinks to a single energy value in the thermodynamic limit,in a power law way.The magnitude of the scaling exponent at the intermediate disorder is close to that in the quantum Hall effects.The number of current carrying states obeys similar scaling rules,so that the density of states of current carrying states is finite.Other states in the bulk band are localized and may contribute to the formation of a topological Anderson insulator.

关 键 词：quantum anomalous Hall effect Chern number disordered system LOCALIZATION 

分 类 号：O469[理学—凝聚态物理]