Second Order Perturbation Theory for a Superconducting Double Quantum Dot

Abstract

We extend our approach based on the second order perturbation theory in the Coulomb interaction recently developed for quantum dots coupled to superconducting leads to the superconducting double quantum dot setups. Using our perturbative method we evaluate several single-particle quantities such as on-dot induced gap and generalized occupations together with the Andreev in-gap spectra and compare them with numerically exact results from the Numerical Renormalization Group and Quantum Monte Carlo finding a very good correspondence for not too strongly correlated regimes. Thus we can offer in a wide parameter range this method as an efficient and reliable alternative to the heavy numerical tools exclusively used so far for the description of such experimentally relevant systems.

arXiv comment8 pages, 4 figures, proceedings of the SCES 2019 conference

References in corpus (21)

• The numerical renormalization group method for quantum impurity systems
• TRIQS: A Toolbox for Research on Interacting Quantum Systems
• TRIQS/CTHYB: A Continuous-Time Quantum Monte Carlo Hybridization Expansion Solver for Quantum Impurity Problems
• Energy resolution and discretization artefacts in the numerical renormalization group
• Spectral properties of locally correlated electrons in a BCS superconductor
• Andreev Molecules in Semiconductor Nanowire Double Quantum Dots
• Wave-function hybridization in Yu-Shiba-Rusinov dimers
• Observation of Coexistence of Yu-Shiba-Rusinov States and Spin-Flip Excitations
• Probing magnetic interactions between Cr adatoms on the $\beta$-Bi${}_2$Pd superconductor
• Yu-Shiba-Rusinov screening of spins in double quantum dots
• Supercurrent in a double quantum dot
• Hybrid Double Quantum Dots: Normal, Superconducting, and Topological Regimes
• Numerical renormalization group calculation of near-gap peaks in spectral functions of the Anderson model with superconducting leads
• Perturbation theory of a superconducting $0-\pi$ impurity quantum phase transition
• Perturbation theory for an Anderson quantum dot asymmetrically attached to two superconducting leads
• Josephson current through interacting double quantum dots with spin-orbit coupling
• Quantum dot attached to superconducting leads: Relation between symmetric and asymmetric coupling
• Numerical sub-gap spectroscopy of double quantum dots coupled to superconductors
• Practical Guide to Quantum Phase Transitions in Quantum-Dot-Based Tunable Josephson Junctions
• Subgap features due to quasiparticle tunneling in quantum dots coupled to superconducting leads
• Correlation effects in superconducting quantum dot systems

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• Effective low-energy models for superconducting impurity systems