Influence of superconductivity on the magnetic moment of quantum impurity embedded in BCS superconductor

Abstract

We study the influence of superconductivity on the formation of the localized magnetic moment for a single-level quantum impurity embedded in an s-wave Bardeen-Cooper-Schrieffer (BCS) superconducting medium, modeled by single-impurity Anderson Hamiltonian. We have combined Bogoliubov transformation with Green's function method within self-consistent Hartree-Fock Mean Field approximation to analyze the conditions necessary in metal (in the superconducting) for the formation of the magnetic moment at the impurity site for the low-frequency limit $|\omega |<<{\Delta }_{sc}$ as well as for the finite superconducting gap ${\Delta }_{sc}$. We have compared these results with other theoretical results and with the single-level quantum impurity embedded in the normal metallic host. Further we analyze the electronic spectral density of the quantum impurity embedded in superconducting host with the finite superconducting gap to study the sub-gap states as a function of impurity parameters.

10 pager, 8 figures

References in corpus (7)

• Supercurrent reversal in quantum dots
• Spectral properties of locally correlated electrons in a BCS superconductor
• Josephson current through a single Anderson impurity coupled to BCS leads
• Shiba states and zero-bias anomalies in the hybrid normal-superconductor Anderson model
• Study of 0-$\pi$ phase transition in hybrid superconductor-InSb nanowire quantum dot devices
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Cited by in corpus (1)

• Non-equilibrium thermoelectric transport across normal metal-Quantum dot-Superconductor hybrid system within the Coulomb blockade regime