Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495468 | Journal of Functional Analysis | 2005 | 72 Pages |
Abstract
We justify the linear response theory for an ergodic Schrödinger operator with magnetic field within the noninteracting particle approximation, and derive a Kubo formula for the electric conductivity tensor. To achieve that, we construct suitable normed spaces of measurable covariant operators where the Liouville equation can be solved uniquely. If the Fermi level falls into a region of localization, we recover the well-known Kubo-StrËeda formula for the quantum Hall conductivity at zero temperature.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jean-Marc Bouclet, Francois Germinet, Abel Klein, Jeffrey H. Schenker,