Exact diagonalization approach to correlated fermions in infinite dimensions: Mott transition and superconductivity

Michel Caffarel and Werner Krauth
Phys. Rev. Lett. 72, 1545 – Published 7 March 1994
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Abstract

We present a powerful method for calculating the thermodynamic properties of infinite-dimensional Hubbard-type models using an exact diagonalization of an Anderson model with a finite number of sites. The resolution obtained for Green’s functions is far superior to that of quantum Monte Carlo calculations. We apply the method to the half-filled Hubbard model for a discussion of the metal-insulator transition, and to the two-band Hubbard model where we find direct evidence for the existence of a superconducting instability at low temperatures.

  • Received 21 June 1993

DOI:https://doi.org/10.1103/PhysRevLett.72.1545

©1994 American Physical Society

Authors & Affiliations

Michel Caffarel and Werner Krauth

  • Centre Nationale de la Recherche Scientifique-Laboratoire de Physique Quantique, Institut de Recherche sur les Systemes Atomiques et Moleculaires Complexes, Université Paul Sabatier, 118, route de Narbonne, F-31062 Toulouse Cedex, France
  • Centre Nationale de la Recherche Scientifique-Laboratoire de Physique Statistique de l’Ecole Normale Supérieure, 24, rue Lhomond, 75231 Paris Cedex 05, France

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Vol. 72, Iss. 10 — 7 March 1994

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