Ward type identities for the 2d Anderson model at weak disorder

Details Ward type identities for the 2d Anderson model at weak disorder Ward type identities for the 2d Anderson model at weak disorder

1998-01-21

arxiv.org/abs/cond-mat/9801217v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

LaTeX 2e document using AMS symbols, 25 pages and 32 eps figures

Scientific paper

10.1023/B:JOSS.0000026737.08422.

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.

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