Berry phase and quantized Hall effect in three-dimension

Details Berry phase and quantized Hall effect in three-dimension Berry phase and quantized Hall effect in three-dimension

2002-01-22

arxiv.org/abs/cond-mat/0201389v2

J. Phys. Soc. Jpn. Vol.71, 1403 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

corrected some typos. Accepted for publication in J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.71.1403

We consider Bloch electrons in the electromagnetic field and argue the relation between the Berry phase and the quantized Hall conductivity in three-dimension. The Berry phase we consider here is induced by the adiabatic change of the time-dependent vector potential. The relation has been shown in two-dimensional systems, and we generalize the relation in three-dimensional systems.

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