Ward type identities for the 2d Anderson model at weak disorder
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
Using the particular momentum conservation laws in dimension d=2, we can rewrite the Anderson model in terms of low momentum long range fields, at the price of introducing electron loops. The corresponding loops satisfy a Ward type identity, hence are much smaller than expected. This fact should be useful for a study of the weak-coupling model in the middle of the spectrum of the free Hamiltonian.
Cite
@article{arxiv.cond-mat/9801217,
title = {Ward type identities for the 2d Anderson model at weak disorder},
author = {Jacques Magnen and Gilles Poirot and Vincent Rivasseau},
journal= {arXiv preprint arXiv:cond-mat/9801217},
year = {2009}
}
Comments
LaTeX 2e document using AMS symbols, 25 pages and 32 eps figures