Geometric currents in piezoelectricity
Mathematical Physics
2009-06-18 v1 Mesoscale and Nanoscale Physics
Materials Science
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0606044,
title = {Geometric currents in piezoelectricity},
author = {Gianluca Panati and Christof Sparber and Stefan Teufel},
journal= {arXiv preprint arXiv:math-ph/0606044},
year = {2009}
}
Comments
34 pages, no figures