Chern numbers in discretized Brillouin zone: Efficient method of computing (spin) Hall conductances

被引：1054

作者：

Fukui, T ^{[1
]}

Hatsugai, Y

Suzuki, H

机构：

[1] Ibaraki Univ, Dept Math Sci, Mito, Ibaraki 3108512, Japan

[2] Univ Tokyo, Dept Appl Phys, Bunkyo Ku, Tokyo 1138656, Japan

[3] Ibaraki Univ, Inst Appl Beam Sci, Mito, Ibaraki 3108512, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2005年 / 74卷 / 06期

关键词：

Chern number; Berry connection; quantum Hall effect; lattice gauge theory;

D O I：

10.1143/JPSJ.74.1674

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a manifestly gauge-invariant description of Chern numbers associated with the Berry connection defined on a discretized Brillouin zone. It provides an efficient method of computing (spin) Hall conductances without specifying gauge-fixing conditions. We demonstrate that it correctly reproduces quantized Hall conductances even on a coarsely discretized Brillouin zone. A gauge-dependent integer-valued field, which plays a key role in the formulation,-is evaluated in several gauges. An extension to the non-Abelian Berry connection is also given.

引用

页码：1674 / 1677

页数：4

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