Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors

Details Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors

2003-12-11

arxiv.org/abs/cond-mat/0312271v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Fig.2 and corresponding text have been changed; Several other small changes

Scientific paper

10.1103/PhysRevB.70.020502

We investigate the supercurrent through a quantum dot for the whole range of couplings using the numerical renormalization group method. We find that the Josephson current switches abruptly from a $\pi$- to a 0-phase as the coupling increases. At intermediate couplings the total spin in the ground state depends on the phase difference between the two superconductors. Our numerical results can explain the crossover in the conductance observed experimentally by Buitelaar \textit{et al.} [Phys. Rev. Lett. \textbf{89}, 256 801 (2002)].

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