Spectral properties of locally correlated electrons in a BCS superconductor

Abstract

We present a detailed study of the spectral properties of a locally correlated site embedded in a BCS superconducting medium. To this end the Anderson impurity model with superconducting bath is analysed by numerical renormalisation group (NRG) calculations. We calculate one and two-particle dynamic response function to elucidate the spectral excitation and the nature of the ground state for different parameter regimes with and without particle-hole symmetry. The position and weight of the Andreev bound states is given for all relevant parameters. We also present phase diagrams for the different ground state parameter regimes. This work is also relevant for dynamical mean field theory extensions with superconducting symmetry breaking.

arXiv comment22 pages, 12 figures

References in corpus (19)

• Kondo Physics in a Single Electron Transistor
• A Tunable Kondo Effect in Quantum Dots
• Supercurrent reversal in quantum dots
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
• A Quantum Dot in the Kondo Regime Coupled to Superconductors
• Numerical Renormalization Group Calculations for the Self-energy of the impurity Anderson model
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Josephson Current through a correlated quantum level: Andreev states and Pi-junction behavior
• Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors
• Multiple Andreev Reflections in a Carbon Nanotube Quantum Dot
• Kinky Behavior in Josephson Junctions
• Josephson current through a nanoscale magnetic quantum dot
• Andreev scattering and Josephson current in a one-dimensional electron liquid
• Quantum phase transition in a minimal model for the Kondo effect in a Josephson junction
• Kondo effect in asymmetric Josephson couplings through a quantum dot
• Non-equilibrium dynamics of Andreev states in the Kondo regime
• Conductance properties of nanotubes coupled to superconducting leads: signatures of Andreev states dynamics
• Low-temperature transport through a quantum dot between two superconductor leads

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