Correlation effects in superconducting quantum dot systems

Abstract

We study the effect of electron correlations on a system consisting of a single-level quantum dot with local Coulomb interaction attached to two superconducting leads. We use the single-impurity Anderson model with BCS superconducting baths to study the interplay between the proximity induced electron pairing and the local Coulomb interaction. We show how to solve the model using the continuous-time hybridization-expansion quantum Monte Carlo method. The results obtained for experimentally relevant parameters are compared with results of self-consistent second order perturbation theory as well as with the numerical renormalization group method.

5 pages, 5 figures, contribution to SCES 2017 Prague conference proceedings

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• Effective low-energy models for superconducting impurity systems
• Footprints of impurity quantum phase transitions in quantum Monte Carlo statistics
• Many-body perturbation theory for the superconducting quantum dot: Fundamental role of the magnetic field
• Second Order Perturbation Theory for a Superconducting Double Quantum Dot
• Simulation of Charge Stability Diagrams for Automated Tuning Solutions (SimCATS)
• Yu-Shiba-Rusinov states, the BCS-BEC crossover, and the exact solution in the flat-band limit
• YSR Bond Qubit in a Double Quantum Dot with cQED Operation
• Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots