Chern numbers in discretized Brillouin zone

Efficient method of computing (spin) Hall conductances

Takahiro Fukui, Yasuhiro Hatsugai, Hiroshi Suzuki

Research output: Contribution to journalArticle

386 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1674-1677
Number of pages4
Journaljournal of the physical society of japan
Volume74
Issue number6
DOIs
Publication statusPublished - Jun 1 2005
Externally publishedYes

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Brillouin zones
fixing
integers
formulations

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Chern numbers in discretized Brillouin zone : Efficient method of computing (spin) Hall conductances. / Fukui, Takahiro; Hatsugai, Yasuhiro; Suzuki, Hiroshi.

In: journal of the physical society of japan, Vol. 74, No. 6, 01.06.2005, p. 1674-1677.

Research output: Contribution to journalArticle

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