Edge-state critical behavior of the integer quantum Hall transition

被引:2
|
作者
Puschmann, Martin [1 ]
Cain, Philipp [2 ]
Schreiber, Michael [2 ]
Vojta, Thomas [1 ]
机构
[1] Missouri Univ Sci & Technol, Dept Phys, Rolla, MO 65409 USA
[2] Tech Univ Chemnitz, Inst Phys, D-09107 Chemnitz, Germany
来源
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2021年 / 230卷 / 04期
关键词
D O I
10.1140/epjs/s11734-021-00064-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The integer quantum Hall effect features a paradigmatic quantum phase transition. Despite decades of work, experimental, numerical, and analytical studies have yet to agree on a unified understanding of the critical behavior. Based on a numerical Green function approach, we consider the quantum Hall transition in a microscopic model of non-interacting disordered electrons on a simple square lattice. In a strip geometry, topologically induced edge states extend along the system rim and undergo localization-delocalization transitions as function of energy. We investigate the boundary critical behavior in the lowest Landau band and compare it with a recent tight-binding approach to the bulk critical behavior [Phys. Rev. B 99, 121301(R) (2019)] as well as other recent studies of the quantum Hall transition with both open and periodic boundary conditions.
引用
收藏
页码:1003 / 1007
页数:5
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