Geometric Currents in Piezoelectricity
نویسندگان
چکیده
منابع مشابه
Geometric Currents in Piezoelectricity
As a simple model for piezoelectricity we consider a gas of infinitely many non-interacting electrons subject to a slowly timedependent 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. v...
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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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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2008
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-008-0111-y