05-269 Abel Klein, Olivier Lenoble, Peter Mueller
On Mott's formula for the ac-conductivity in the Anderson model (451K, pdf) Aug 9, 05
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Abstract. We study the ac-conductivity 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 ac-conductivity 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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