The conductivity measure for the Anderson model

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.

References in corpus (1)

• New characterizations of the region of complete localization for random Schrödinger operators

Cited by in corpus (6)

• Microscopic Conductivity of Lattice Fermions at Equilibrium - Part I: Non-Interacting Particles
• Ac-conductivity and electromagnetic energy absorption for the Anderson model in linear response theory
• Microscopic Conductivity of Lattice Fermions at Equilibrium - Part II: Interacting Particles
• Entropy Power Inequality in Fermionic Quantum Computation
• From the 2nd Law of Thermodynamics to AC-Conductivity Measures of Interacting Fermions in Disordered Media
• Macroscopic Conductivity of Free Fermions in Disordered Media