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arXiv.org e-Print Archive
Preprint . 2006
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Archive for Rational Mechanics and Analysis
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Geometric Currents in Piezoelectricity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 06 May 2008Embargo end date: 01 Jan 2006 Italy English Publisher:Springer Science and Business Media LLCJournal:Archive for Rational Mechanics and Analysis, volume 191, pages 387-422 (issn: 0003-9527, eissn: 1432-0673, Copyright policy )
Authors: PANATI, GIANLUCA; Christof Sparber; Stefan Teufel;

doi: 10.1007/s00205-008-0111-y , 10.48550/arxiv.math-ph/0606044

arXiv: http://arxiv.org/abs/math-ph/0606044

handle: 11573/143173

Geometric Currents in Piezoelectricity

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.

34 pages, no figures

Country
Italy
Related Organizations
Keywords

Condensed Matter - Materials Science, Condensed Matter - Mesoscale and Nanoscale Physics, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), 35Q40, 81Q05, 81Q20, 81Q70, 81S30, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 18
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Top 10%
Top 10%
Average
Green
bronze