Josephson current through a nanoscale magnetic quantum dot

Abstract

We present theoretical results for the equilibrium Josephson current through an Anderson dot tuned into the magnetic regime, using Hirsch-Fye Monte Carlo simulations covering the complete crossover from Kondo-dominated physics to $\pi$ junction behavior in a numerically exact way. Within the `magnetic' regime, $U/\Gamma \gg 1$ and ${\epsilon }_0/\Gamma \le 1$, the Josephson current is found to depend only on $\Delta /T_K$, where $\Delta$ is the BCS gap and $T_K$ the Kondo temperature. The junction behavior can be classified into four different quantum phases. We describe these behaviors, specify the associated three transition points, and identify a local minimum in the critical current of the junction as a function of $\Delta /T_K$.

References in corpus (11)

• Coupling of two superconductors through a ferromagnet : evidence for a pi-junction
• A Quantum Dot in the Kondo Regime Coupled to Superconductors
• 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
• The Interacting Impurity Josephson Junction: Variational Wavefunctions and Slave Boson Mean Field Theory
• Loss of Pi-Junction Behaviour in an Interacting Impurity Josephson Junction
• Josephson Coupling through a Quantum Dot
• Quantum Dot in the Kondo Regime coupled to p-wave superconductors
• Josephson transport through a Hubbard impurity center

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