{
  "id": "cond-mat/0503172",
  "version": "v2",
  "published": "2005-03-08T06:37:28.000Z",
  "updated": "2005-04-06T09:28:47.000Z",
  "title": "Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances",
  "authors": [
    "Takahiro Fukui",
    "Yasuhiro Hatsugai",
    "Hiroshi Suzuki"
  ],
  "comment": "4 pages, 3 figures, to appear in JPSJ",
  "journal": "J. Phys. Soc. Jpn. 74 (2005) pp. 1674-1677",
  "doi": "10.1143/JPSJ.74.1674",
  "categories": [
    "cond-mat.mes-hall",
    "hep-lat"
  ],
  "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-04-06T09:28:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "discretized brillouin zone",
      "efficient method",
      "chern numbers",
      "non-abelian berry connection",
      "correctly reproduces quantized hall conductances"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 678203
    }
  }
}