Josephson Current through a correlated quantum level: Andreev states and Pi-junction behavior

A. Levy Yeyati; A.Martin-Rodero; E.Vecino

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Josephson Current through a correlated quantum level: Andreev states and Pi-junction behavior

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arxiv cond-mat/0212375 v1 pith:IEP5YPPK submitted 2002-12-16 cond-mat

E.Vecino , A.Martin-Rodero , A. Levy Yeyati This is my paper

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keywords behaviorandreevcoulombjosephsonlevelpi-junctionquantumstates

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The Josephson transport and the electronic properties of a quantum dot characterized by a single level coupled to superconducting leads is analyzed. Different approximations are used and compared: the mean field approximation, the second order perturbation theory in the Coulomb interaction and the exact diagonalization in the zero band-width limit. The system exhibits a rich behavior as a function of the relevant parameters. We discuss in detail the conditions for the observation of Pi-junction behavior and the effect of Coulomb interactions on the Andreev states.

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