Geodesic
On Mott’s formula for the ac-conductivity in the Anderson model
Abel Klein1 ; Olivier Lenoble1 ; Peter Müller1
1 Department of Mathematics, University of California, Irvine, CA 92697, United States
Annals of mathematics, Tome 166 (2007) no. 2, pp. 549-577.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We study the ac-conductivity in linear response theory in the general framework of ergodic magnetic Schrödinger operators. For the Anderson model, if the Fermi energy lies in the localization regime, we prove that the ac-conductivity is bounded from above 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}$.
DOI : 10.4007/annals.2007.166.549

Abel Klein 1 ; Olivier Lenoble 1 ; Peter Müller 1

1 Department of Mathematics, University of California, Irvine, CA 92697, United States 
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Abel Klein; Olivier Lenoble; Peter Müller. On Mott’s formula for the ac-conductivity in the Anderson model. Annals of mathematics, Tome 166 (2007) no. 2, pp. 549-577. doi : 10.4007/annals.2007.166.549. http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.166.549/

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