✦ LIBER ✦
Adiabatic charge transport and the Kubo formula for Landau-type Hamiltonians
✍ Scribed by Alexander Elgart; Benjamin Schlein
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 198 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The adiabatic charge transport is investigated in a two‐dimensional Landau model perturbed by a bounded potential at zero temperature. We show that if the Fermi level lies in a spectral gap, then in the adiabatic limit the accumulated excess Hall charge is given by the linear response Kubo‐Štreda formula. The proof relies on the expansion of Nenciu, some generalized phase space estimates, and a bound on the speed of propagation. © 2004 Wiley Periodicals, Inc.