04-255 Jean-Marc Bouclet, Fran ois Germinet, Abel Klein, Jeffrey Schenker

Linear response theory for magnetic Schrodinger operators in disordered media (525K, pdf) Aug 18, 04

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Abstract. We justify the linear response theory for an ergodic Schrodinger operator with magnetic field within the non-interacting 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-Streda formula for the quantum Hall conductivity at zero temperature.

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