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Geometric Currents in Piezoelectricity.
- Source :
-
Archive for Rational Mechanics & Analysis . Mar2009, Vol. 191 Issue 3, p387-422. 36p. - Publication Year :
- 2009
-
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]
Details
- Language :
- English
- ISSN :
- 00039527
- Volume :
- 191
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Archive for Rational Mechanics & Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 36176867
- Full Text :
- https://doi.org/10.1007/s00205-008-0111-y