On Berry Phase in Bloch States

Physics – Condensed Matter – Superconductivity

Scientific paper

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2 pages, 1 figure, to be published in the proceedings of LT23 in Hiroshima, Aug. 2002

Scientific paper

We comment on the relation between Berry phase and quantized Hall conductivities for charge and spin currents in some Bloch states, such as Bloch electrons in the presence of electromagnetic fields and quasiparticles in the vortex states of superfluid $^3$He. One can find out that the arguments presented here are closely related to the spontaneous polarization in crystalline dielectrics and the adiabatic pumping.

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