Josephson coupling through a quantum dot

A. V. Rozhkov, Daniel P. Arovas, F. Guinea

Research output: Contribution to journalArticlepeer-review

51 Citations (Scopus)

Abstract

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 (formula presented) as a function of the gate voltage and Coulomb interaction. In the limit of a diffusive dot, we compute the probability distribution (formula presented) of Josephson couplings. In both cases, π junction behavior (formula presented) is possible, and is not simply dependent on the parity of the dot occupancy.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume64
Issue number23
DOIs
Publication statusPublished - 2001
Externally publishedYes

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