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Adiabatic description of piezoelectricity

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If you have a question about this talk, please contact Prof. Mihalis Dafermos.

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 corresponding Bloch eigenfunctions. As a consequence we obtain the King-Smith and Vanderbilt formula up to errors smaller than any power of the adiabatic parameter.

This talk is part of the Partial Differential Equations seminar series.

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