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.

22 pages, 12 figures

References in corpus (5)

• 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 Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Kondo effect in asymmetric Josephson couplings through a quantum dot

Cited by in corpus (7)

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• Microscopic model of critical current noise in Josephson-junction qubits: Subgap resonances and Andreev bound states
• Anderson impurity in a semiconductor
• Supercurrent and multiple singlet-doublet phase transitions of a quantum dot Josephson junction inside an Aharonov-Bohm ring
• Quasiparticle excitations and dynamic susceptibilities in the BCS-BEC crossover
• Anomaly in the heat capacity of Kondo superconductors