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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 Geometric Analysis & Partial Differential Equations seminar series.

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Room GS15 at the William Gates Building and on Zoom: https://cl-cam-ac-uk.zoom.us/j/4361570789?pwd=Nkl2T3ZLaTZwRm05bzRTOUUxY3Q4QT09&from=addon Seminar Room 2, Faculty of History Herchel Smith Building for Brain and Mind Sciences, Forvie Site, Addenbrooke’s Hospital in Cambridge (unless otherwise stated) For directions see: http://maps.google.co.uk/maps/ms?ie=UTF8&hl=en&msa=0&msid=103610261172628577320.00046a58fcb8a7

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