Electron transport in the Anderson model
A. Alvermann, F. X. Bronold, and H. Fehske
TL;DR
This paper investigates how electrons move in a disordered system using the Anderson model on a Bethe lattice, revealing a sharp transition from conducting to localized states at a critical disorder level.
Contribution
It introduces a selfconsistent localization theory to analyze electron transport and identifies the disorder-induced localization transition in the Anderson model.
Findings
Conductivity drops abruptly at a critical disorder strength.
Two distinct contributions dominate the current-current correlation function.
Localization transition is characterized by a sudden vanishing of conductivity.
Abstract
Based on a selfconsistent theory of localization we study the electron transport properties of a disordered system in the framework of the Anderson model on a Bethe lattice. In the calculation of the dc conductivity we separately discuss the two contributions to the current-current correlation function dominating its behaviour for small and large disorder. The resulting conductivity abruptly vanishes at a critical disorder strength marking the localization transition.
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