物理
量子霍尔效应
缩放比例
朗道量子化
凝聚态物理
态密度
指数
量子自旋霍尔效应
量子
热力学极限
量子力学
电子
语言学
哲学
几何学
数学
作者
Yi-Ming Dai,Si-Si Wang,Yu Yan,Ji-Huan Guan,Huihui Wang,Yanyang Zhang
标识
DOI:10.1088/1674-1056/ac5d2b
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.
科研通智能强力驱动
Strongly Powered by AbleSci AI