Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-11-05
Phys. Rev. B 77, 024517 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
version accepted for publication in PRB
Scientific paper
10.1103/PhysRevB.77.024517
We investigate the Josephson current J(\phi) through a quantum dot embedded between two superconductors showing a phase difference \phi. The system is modeled as a single Anderson impurity coupled to BCS leads, and the functional and the numerical renormalization group frameworks are employed to treat the local Coulomb interaction U. We reestablish the picture of a quantum phase transition occurring if the ratio between the Kondo temperature T_K and the superconducting energy gap \Delta or, at appropriate T_K/\Delta, the phase difference \phi or the impurity energy is varied. We present accurate zero- as well as finite-temperature T data for the current itself, thereby settling a dispute raised about its magnitude. For small to intermediate U and at T=0 the truncated functional renormalization group is demonstrated to produce reliable results without the need to implement demanding numerics. It thus provides a tool to extract characteristics from experimental current-voltage measurements.
Karrasch Christoph
Meden Volker
Oguri Akira
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