Kondo effect in asymmetric Josephson couplings through a quantum dot

Abstract

Asymmetry in the Josephson couplings between two superconductors through a quantum dot is studied based on a single impurity Anderson model using the numerical renormalization group (NRG). Specifically, we examine how the difference between the couplings Γ_L and Γ_R affects the ground state, which is known to show a quantum phase transition between a nonmagnetic singlet and a magnetic doublet depending on the various parameters; the Coulomb interaction U, onsite potential ε_d, level width Γ_L, Γ_R, caused by the hybridization, and superconducting gaps Δ_L and Δ_R for the leads on the left and right. Our results show that whether the local moment is fully screened or not depends substantially on the asymmetry in the couplings Γ_L \neq Γ_R. It tends to make the singlet ground state stable, while the size and phase difference of the two superconducting gaps tend to suppress the screening. We also discuss some general symmetry properties of the system and their relation to the current conservation.

11 pages,11 figs: Equation (A9) has been corrected. It does not affect any other results of the paper

References in corpus (1)

• Supercurrent reversal in quantum dots

Cited by in corpus (6)

• Spectral properties of locally correlated electrons in a BCS superconductor
• Josephson current through a single Anderson impurity coupled to BCS leads
• Andreev Transport through Side-Coupled Double Quantum Dots
• Josephson effect through a quantum dot array
• Supercurrent and multiple singlet-doublet phase transitions of a quantum dot Josephson junction inside an Aharonov-Bohm ring
• Anomaly in the heat capacity of Kondo superconductors