This article is cited in 10 papers

The conductivity measure for the Anderson model

Abel Klein^a, Peter Müller<sup>b

a</sup> Department of Mathematics, University of California Irvine, CA 92697-3875, USA
^b Institut für Theoretische Physik, Friedrich-Hund-Platz 1, Georg-August-Universität, 37077 Göttingen, Germany

Abstract: We study the ac-conductivity in linear response theory for the Anderson tight-binding model. We define the electrical ac-conductivity and calculate the linear-response current at zero temperature for arbitrary Fermi energy. In particular, the Fermi energy may lie in a spectral region where extended states are believed to exist.

Key words and phrases: Anderson model, random Schrodinger operator, conductivity, linear response theory.

MSC: Primary 82B44; Secondary 47B80, 60H25

Received: 22.09.2007

Language: English

Bibliographic databases:

• 
• 
• 
•