ar X iv : m at h - ph / 0 60 60 44 v 1 1 9 Ju n 20 06 GEOMETRIC CURRENTS IN PIEZOELECTRICITY
نویسندگان
چکیده
As a simple model for piezoelectricity we consider a gas of infinitely many non-interacting electrons subject to a slowly time-dependent periodic potential. We show that in the adiabatic limit the macroscopic current is determined by the geometry of the Bloch bundle. As a consequence we obtain the King-Smith and Vanderbilt formula up to errors smaller than any power of the adiabatic parameter.
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