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Ward-Type Identities for the Two-Dimensional Anderson Model at Weak Disorder

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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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Authors and Affiliations

  1. Centre de Physique Théorique, École Polytechnique, 91128, Palaiseau Cedex, France

    Jacques Magnen, Gilles Poirot & Vincent Rivasseau

  2. Technische Universität, Fachbereich Mathematik, Strasse des 17 Juni 136, D 10623, Berlin, Germany

    Gilles Poirot

Authors
  1. Jacques Magnen
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  2. Gilles Poirot
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  3. Vincent Rivasseau
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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

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