Berry phase and quantized Hall effect in three-dimension

J. Goryo; M. Kohmoto

doi:10.1143/jpsj.71.1403

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Berry phase and quantized Hall effect in three-dimension

J. Goryo·M. Kohmoto

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Abstract

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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J. Goryo, M. Kohmoto. 2002-03-05. Berry phase and quantized Hall effect in three-dimension. https://doi.org/10.1143/jpsj.71.1403

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