Abstract
Using the particular momentum conservation laws in dimension d = 2, we 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 the study of the weak-coupling model in the middle of the spectrum of the free Hamiltonian.
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Magnen, J., Poirot, G. & Rivasseau, V. Ward-Type Identities for the Two-Dimensional Anderson Model at Weak Disorder. Journal of Statistical Physics 93, 331–358 (1998). https://doi.org/10.1023/B:JOSS.0000026737.08422.fd
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DOI: https://doi.org/10.1023/B:JOSS.0000026737.08422.fd