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The Josephson transport and the electronic properties of a quantum dotcharacterized 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 exactdiagonalization in the zero band-width limit. The system exhibits a richbehavior as a function of the relevant parameters. We discuss in detail theconditions for the observation of Pi-junction behavior and the effect ofCoulomb interactions on the Andreev states

physical review. b, condensed matter

Josephson current through a correlated quantum level: Andreev states and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi></mml:math>junction behavior

Josephson current through a correlated quantum level: Andreev states andπjunction behavior