On Mott's formula for the ac-conductivity in the Anderson model

@inproceedings{Klein2007OnMF,
  title={On Mott's formula for the ac-conductivity in the Anderson model},
  author={Abel Klein and Olivier Lenoble and Peter Muller},
  year={2007}
}
We study the ac-conductivity in linear response theory in the general framework of ergodic magnetic Schrodinger 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 Cν 2 (log 1 ) d+2 at small frequencies ν. This is to be compared to Mott's formula, which predicts the leading term to be Cν 2 (log 1 ν ) d+1 . 

Figures from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 19 CITATIONS