Landau level mixing and levitation of extended states in two dimensions

被引：50

作者：

Haldane, FDM ^{[1
]}

Yang, K ^{[1
]}

机构：

[1] PRINCETON UNIV,DEPT ELECT ENGN,PRINCETON,NJ 08544

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.78.298

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the effects of mixing of different Landau-levels on the energies of one-body states, in the presence of a strong uniform magnetic field and a random potential in two dimensions. We use a perturbative approach and develop a systematic expansion in both the strength and smoothness of the random potential. We find the energies of the extended states shift upward and the amount of levitation is proportional to (n + 1/2)/B-3 for strong magnetic field, where B is the magnetic field strength and n is the Landau level index.

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页码：298 / 301

页数：4

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