LOCALIZATION AND QUANTUM HALL-EFFECT IN A 2-DIMENSIONAL PERIODIC POTENTIAL

被引:20
|
作者
TAN, Y [1 ]
机构
[1] UNIV WASHINGTON,DEPT PHYS FM15,SEATTLE,WA 98195
关键词
D O I
10.1088/0953-8984/6/39/015
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
A numerical study has been made of two-dimensional electrons in the lowest Landau level in the presence of a periodic potential and a random potential. The Hall conductance, density of states and density of current-carrying states are calculated when disorder is varied. The results show that the states in a subband carrying quantized Hall conductance t (t > 1 for example, and similarly t < -1) are split into two carrying unit conductance and t - 1, respectively, as disorder is introduced. The states carrying unit Hall current will merge and annihilate with that carrying -1 in the neighbouring subband separated by a small gap when disorder is increased and the gap vanishes. Based on this, a diagram of current-carrying states against disorder has been proposed. There is also a calculation on the localization length, and it is found that extended states appear at singular energies under certain conditions. Futhermore, it has been shown that a plateau in the Hall conductance, rather than a rapid oscillation, can be measured as a function of magnetic field for one-third-filled Landau bands. Similar results have been obtained for tight-binding electrons in a magnetic field with random site energies.
引用
收藏
页码:7941 / 7954
页数:14
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