06-186 Gianluca Panati, Christof Sparber, Stefan Teufel

Geometric currents in piezoelectricity (125K, AMS-TeX) Jun 19, 06

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Abstract. 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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