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On Mott's formula for the ac-conductivity in the Anderson model | Abel Klein
; Olivier Lenoble
; Peter Müller
; | Date: |
2 Aug 2005 | Subject: | Mathematical Physics MSC-class: 82B44 (Primary) 47B80; 60H25 (Secondary) | math-ph math.MP | Abstract: | 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 by $C
u^2 (log frac 1
u)^{d+2}$ at small frequencies $
u$. This is to be compared to Mott’s formula, which predicts the leading term to be $C
u^2 (log frac 1
u)^{d+1}$. | Source: | arXiv, math-ph/0508007 | Services: | Forum | Review | PDF | Favorites |
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