5 papers
Rigorous Schrieffer-Wolff transformation for the Anderson impurity model
Gilles Poirot
With the help of computer algebra, I devise an exact unitary transformation for the Anderson impurity model which allows to kill the hybridization term in the slightly simplified c…
Ward type identities for the 2d Anderson model at weak disorder
Jacques Magnen, Gilles Poirot, Vincent Rivasseau
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…
Mean Green's function of the Anderson model at weak disorder with an infra-red cut-off
Gilles Poirot
We develop a polymer expansion with large/small field conditions for the mean resolvent of a weakly disordered system. Then we show that we can apply our result to a two-dimensiona…
The Anderson Model as a Matrix Model
J. Magnen, G. Poirot, V. Rivasseau
In this paper we describe a strategy to study the Anderson model of an electron in a random potential at weak coupling by a renormalization group analysis. There is an interesting…
A Single Slice 2d Anderson Model at Weak Disorder
Gilles Poirot
We introduce a matrix-operator formulation of the Anderson model in d=2. In a single slice, we can then derive an analogy between our model and a standard random matrices problem.…