100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Thierry Gallay

Geometric currents in piezoelectricity.

Mardi, 21 Mars, 2006 - 15:00
Prénom de l'orateur : 
Nom de l'orateur : 
Résumé : 

The seminar concerns a mathematical analysis of piezoelectricity in
slowly deformed crystals. As a simple model for the phenomenon, we
consider a gas of non-interacting electrons subject to a slowly
time-dependent periodic potential. We prove that, in the adiabatic
limit, the piezoelectric current per unit volume is given by the
King-Smith and Vanderbilt formula, and we show how it relates to the
first Chern class of a particular vector bundle.
We then consider a more general case, allowing for a time-dependent
periodicity lattice, and we exhibit some corrections to the King-Smith
and Vanderbilt formula.

Institution de l'orateur : 
Technische Università¤t München
Thème de recherche : 
Physique mathématique
Salle : 
1 tour Irma
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