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Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
Open accessAbstract
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.
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Cites
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Haldane, F. D. M. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.206602 · Cited by 760
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Metadata
- Authors
- Fukui, T., Hatsugai, Y., & Suzuki, H.
- Venue
- Journal of the Physical Society of Japan
- Publisher
- Physical Society of Japan
- Published
- 2005-06
- Volume
- 74
- Issue
- 6
- Pages
- 1674-1677
- ISSN
- 0031-9015 (ISSN-L)
- 1347-4073
- OpenAlex
- W2022091241
- Cited by
- 1,389
- References
- 2
- FWCI
- 3.28
- Type
- journal article
- Language
- en
- Open access
- green
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- Fukui, T., Hatsugai, Y., & Suzuki, H. (2005). Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances. Journal of the Physical Society of Japan. https://doi.org/10.1143/jpsj.74.1674
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