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

Takahiro Fukui, Yasuhiro Hatsugai, Hiroshi Suzuki

研究成果: ジャーナルへの寄稿学術誌査読

700 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)1674-1677
ページ数4
ジャーナルjournal of the physical society of japan
74
6
DOI
出版ステータス出版済み - 6月 2005
外部発表はい

!!!All Science Journal Classification (ASJC) codes

  • 物理学および天文学(全般)

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