 05269 Abel Klein, Olivier Lenoble, Peter Mueller
 On Mott's formula for the acconductivity in the Anderson model
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Aug 9, 05

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Abstract. We study the acconductivity in linear response theory in the general framework of ergodic magnetic Schroedinger operators. For the Anderson model, if the Fermi energy lies in the localization regime, we prove that the acconductivity is bounded by $ C \nu^2 (\log \frac 1 \nu)^{d+2}$ at small frequencies $\nu$. This is to be compared to Mott's formula, which predicts the leading term to be $ C \nu^2 (\log \frac 1 \nu)^{d+1}$.
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