1. Geometric Currents in Piezoelectricity.
- Author
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Panati, Gianluca, Sparber, Christof, and Teufel, Stefan
- Subjects
- *
PIEZOELECTRICITY , *ELECTRONS , *GEOMETRY , *ADIABATIC invariants , *POLARIZATION (Electricity) - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2009
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