Geometric currents in piezoelectricity

Gianluca Panati, Christof Sparber, Stefan Teufel

Arch. Rat. Mech. Anal. 91 (2009), 387-422.
[Geometric currents in piezoelectricity (331.5 kB)]

Zusammenfassung

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.

The published article can be found at Springer Online: http://www.springerlink.com/content/72277554j8341g16/