Non-equilibrium transport through a Josephson quantum dot

Abstract

We study the electronic current through a quantum dot coupled to two superconducting leads which is driven by either a voltage $V$ or temperature $\Delta T$ bias. Finite biases beyond the linear response regime are considered. The local two-particle interaction $U$ on the dot is treated using an approximation scheme within the functional renormalization group approach set up in Keldysh-Nambu-space with $U$ being the small parameter. For $V>0$ we compare our renormalization group enhanced results for the dc-component of the current to earlier weak coupling approaches such as the Hartree-Fock approximation and second order perturbation theory in $U$. We show that in parameter regimes in which finite bias driven multiple Andreev reflections prevail small $|U|$ approaches become unreliable for interactions of appreciable strength. In the complementary regime the convergence of the current with respect to numerical parameters becomes an issue - but can eventually be achieved - and interaction effects turn out to be smaller then expected based on earlier results. For $\Delta T>0$ we find a surprising increase of the current as a function of the superconducting phase difference in the regime which at $T=0$ becomes the $\pi$ (doublet) phase.

14 pages, 8 figures

References in corpus (13)

• Supercurrent reversal in quantum dots
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Spectral properties of locally correlated electrons in a BCS superconductor
• Critical Current 0-$\pi$ Transition in Designed Josephson Quantum Dot Junctions
• Josephson current through a single Anderson impurity coupled to BCS leads
• Even-odd effect in Andreev Transport through a Carbon Nanotube Quantum Dot
• Kondo-Enhanced Andreev Tunneling in InAs Nanowire Quantum Dots
• Kondo effect in asymmetric Josephson couplings through a quantum dot
• Microscopic resolution of the interplay of Kondo screening and superconducting pairing: Mn-phthalocyanine molecules adsorbed on superconducting Pb(111)
• Josephson current through interacting double quantum dots with spin-orbit coupling
• Josephson current through a molecular transistor in a dissipative environment
• Superconducting transport through a vibrating molecule
• Superconducting non-equilibrium transport through a weakly interacting quantum dot

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• Fermi liquid approach for superconducting Kondo problems
• Functional renormalization group in Floquet space
• Superconductor-quantum dot hybrid coolers
• Field-free Josephson diode effect in interacting chiral quantum dot junctions
• Local magnetic moments and electronic transport in closed loop quantum dot systems: a case of quadruple quantum dot ring at and away from equilibrium
• Review of recent developments of the functional renormalization group for systems out of equilibrium
• Quantum phase transition in a double quantum dot Josephson junction driven by electron-electron interactions
• Magnetic flux controlled current phase relationship in double Quantum Dot Josephson junction
• Many-body correlations in Floquet steady-states: Frequency-resolved renormalization group of the driven Anderson impurity
• Andreev bound states in Superconductor-quantum dot Josephson junction at infinite-U limit