Superconductivity in the two-band Hubbard model in infinite dimensions |
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Authors: | Antoine Georges Gabriel Kotliar Werner Krauth |
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Affiliation: | (1) Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 24, rue Lhomond, F-75231 Paris Cedex 05, France;(2) Serin Physics Laboratory, Rutgers University, 08855-0849 Piscataway, NJ, USA;(3) Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, 24, rue Lhomond, F-75231 Paris Cedex 05, France;(4) Present address: Unité propre du CNRS (UP 701) associée à l'ENS et à l'Université Paris-Sud, Paris, France;(5) Present address: Laboratoire associé au CNRS (URA 1306) et aux Universités Paris VI et Paris VII, Paris, France |
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Abstract: | We study a two-band Hubbard model in the limit of infinite dimensions, using a combination of analytical methods and Monte-Carlo techniques. The normal state is found to display various metal to insulators transitions as a function of doping and interaction strength. We derive self-consistent equations for the local Green's functions in the presence of superconducting long-range order, and extend previous algorithms to this case. We present direct numerical evidence that in a specific range of parameter space, the normal state is unstable against a superconducting state characterized by a strongly frequency dependent order-parameter. |
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Keywords: | 71.10+x 75.10 Lp 71.45 Lr 75.30 Fv |
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