On the absence of finite size corrections in the quantized Hall conductance

被引：8

作者：

Ishikawa, K ^{[1
]}

Maeda, N ^{[1
]}

Tadaki, K ^{[1
]}

Uchiyama, S ^{[1
]}

机构：

[1] HOKKAIDO UNIV,DEPT MATH,SAPPORO,HOKKAIDO 060,JAPAN

来源：

PHYSICS LETTERS A | 1996年 / 210卷 / 4-5期

关键词：

D O I：

10.1016/0375-9601(95)00932-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A connection between the Hall conductance in realistic situations and a topological invariant in the momentum space is pointed out using the von Neumann lattice representation in which Landau level electrons have minimum spatial extensions. We show that the Hall conductance is a unique topological invariant that has no finite size correction and is quantized exactly in the quantum Hall regime where the one-particle states around the Fermi energy are either localized states or one-dimensionally extended states, based on the momentum representation of the sigma(xy).

引用

页码：321 / 327

页数：7

共 31 条

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ABE O, 1986, RATIONALE BEING FEST, P137

[2]

Bargmann V., 1971, Reports on Mathematical Physics, V2, P221, DOI 10.1016/0034-4877(71)90006-1

[3] ABSENCE OF BACKSCATTERING IN THE QUANTUM HALL-EFFECT IN MULTIPROBE CONDUCTORS [J].