Can I read Diagrammatic self-consistent theory of Anderson localization for the tight-binding model on EtoBox?

Diagrammatic self-consistent theory of Anderson localization for the tight-binding model by Kroha, Johann is a scholarly article available to read on EtoBox.

What is Diagrammatic self-consistent theory of Anderson localization for the tight-binding model about?

A self-consistent theory of the frequency dependent diffusion coefficient for the Anderson localization problem is presented within the tight-binding model of non-interacting electrons on a lattice with randomly distributed on-site energy levels. The theory uses a diagrammatic expansion in terms of (extended) Bloch states and is found to be equivalent to the expansion in terms of (localized) Wannier states which was derived earlier by Kroha, Kopp and W\"olfle. No adjustable parameters enter the theory. The localization length is calculated in 1, 2 and 3 dimensions as well as the frequency dependent conductivity and the phase diagram of localization in 3 dimensions for various types of disorder distributions. The validity of a universal scaling function of the length dependent conductance derived from this theory is discussed in the strong coupling region. Quantitative agreement with results from numerical diagonalization of finite systems demonstrates that the self-consistent treatment of cooperon contributions is sufficient to explain the phase diagram of localization and suggests that the system may be well described by a one-parameter scaling theory in certain regions of the pha

Author

Kroha, Johann

Published

2015

Language

EN