2005年6月
Chern numbers in discretized Brillouin zone: Efficient method of computing (spin) Hall conductances
Journal of the Physical Society of Japan
- ,
- ,
- 巻
- 74
- 号
- 6
- 開始ページ
- 1674
- 終了ページ
- 1677
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1143/JPSJ.74.1674
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. ©2005 The Physical Society of Japan.
- リンク情報
- ID情報
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- DOI : 10.1143/JPSJ.74.1674
- ISSN : 0031-9015
- SCOPUS ID : 21644459893