期刊
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
卷 74, 期 6, 页码 1674-1677出版社
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.74.1674
关键词
Chern number; Berry connection; quantum Hall effect; lattice gauge theory
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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