AC-Conductivity and Electromagnetic Energy Absorption for the Anderson Model in Linear Response Theory

#### A. Klein, P. Mueller

2015, v.21, Issue 3, 575-590

ABSTRACT

We continue our study of the ac-conductivity in linear response theory for the Anderson model using the conductivity measure. We establish further properties of the conductivity measure, including nontriviality at nonzero temperature, the high temperature limit, and asymptotics with respect to the disorder. We also calculate the electromagnetic energy absorption in linear response theory in terms of the conductivity measure.

Keywords: random Schr\"odinger operators, Kubo formula, conductivity measure