Josephson Coupling through a Quantum Dot

Details Josephson Coupling through a Quantum Dot Josephson Coupling through a Quantum Dot

2000-11-12

arxiv.org/abs/cond-mat/0011201v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages; 3 encapsulated PostScript figures

Scientific paper

10.1103/PhysRevB.64.233301

We derive, via fourth order perturbation theory, an expression for the Josephson current through a gated interacting quantum dot. We analyze our expression for two different models of the superconductor-dot-superconductor (SDS) system. When the matrix elements connecting dot and leads are featureless constants, we compute the Josephson coupling J_c as a function of the gate voltage and Coulomb interaction. In the diffusive dot limit, we compute the probability distribution P(J_c) of Josephson couplings. In both cases, pi junction behavior (J_c < 0) is possible, and is not simply dependent on the parity of the dot occupancy.

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