Nonequilibrium Josephson effect in mesoscopic ballistic multiterminal SNS junctions

Abstract

We present a detailed study of nonequilibrium Josephson currents and conductance in ballistic multiterminal SNS-devices. Nonequilibrium is created by means of quasiparticle injection from a normal reservoir connected to the normal part of the junction. By applying a voltage at the normal reservoir the Josephson current can be suppressed or the direction of the current can be reversed. For a junction longer than the thermal length, $L\gg {\xi }_T$, the nonequilibrium current increases linearly with applied voltage, saturating at a value equal to the equilibrium current of a short junction. The conductance exhibits a finite bias anomaly around $eV\sim \hslash v_F/L$. For symmetric injection, the conductance oscillates $2\pi$-periodically with the phase difference $\varphi$ between the superconductors, with position of the minimum ($\varphi =0$ or $\pi$) dependent on applied voltage and temperature. For asymmetric injection, both the nonequilibrium Josephson current and the conductance becomes $\pi$-periodic in phase difference. Inclusion of barriers at the NS-interfaces gives rise to a resonant behavior of the total Josephson current with respect to junction length with a period $\sim {\lambda }_F$. Both three and four terminal junctions are studied.

21 pages, 19 figures, submitted to Phys. Rev. B

References in corpus (8)

• Interference of two electrons entering a superconductor
• Subgap Conductivity of a Superconducting-Normal Tunnel Interface
• Energy Resolved Supercurrent between two superconductors
• Scattering theory of superconductive tunneling in quantum junctions
• Giant Josephson current through a single bound state in a superconducting tunnel junction
• MICROWAVE-INDUCED "SOMERSAULT EFFECT" IN FLOW OF JOSEPHSON CURRENT THROUGH A QUANTUM CONSTRICTION
• Dissipative Electron Transport through Andreev Interferometers
• $\pi -$shifted magnetoconductance oscillations in mesoscopic superconducting-normal-heterostructures

Cited by in corpus (25)

• Andreev bound states in high-$T_c$ superconducting junctions
• Spin-orbit splitting of Andreev states revealed by microwave spectroscopy
• Tunnelling Spectroscopy of Andreev States in Graphene
• Real-time diagrammatic approach to transport through interacting quantum dots with normal and superconducting leads
• Influence of the Rashba effect on the Josephson current through a superconductor/Luttinger liquid/superconductor tunnel junction
• Time-dependent quantum transport with superconducting leads: a discrete basis Kohn-Sham formulation and propagation scheme
• Electrical current noise of a beam splitter as a test of spin-entanglement
• Microscopic nonequilibrium theory of double-barrier Josephson junctions
• Electron tunneling into a quantum wire in the Fabry-Perot regime
• Hamiltonian approach to the ac Josephson effect in superconducting-normal hybrid systems
• Non-equilibrium supercurrent through a quantum dot: current harmonics and proximity effect due to a normal metal lead
• Isolated hybrid normal/superconducting ring in a magnetic flux: from persistent current to Josephson current
• Switching the sign of Josephson current through Aharonov-Bohm interferometry
• Charge and Spin Effects in Mesoscopic Josephson Junctions
• Nonequilibrium spin-dependent phenomena in mesoscopic superconductor-normal metal tunnel structures
• Nonequilibrium Josephson effect in short-arm diffusive SNS interferometers
• Phase dependent multiple Andreev reflections in SNS interferometers
• Effect of dilute impurities on short graphene Josephson junctions
• Controllable Andreev Bound States in Bilayer Graphene Josephson Junction from Short to Long Junction Limits
• Phase-Controlled Force and Magnetization Oscillations in Superconducting Ballistic Nanowires
• Detecting Fulde-Ferrell superconductors by an Andreev interferometer
• Quantum anomaly and anomalous Josephson effect in inversion asymmetric Weyl semimetals
• Josephson effect in superconductor-normal dot-superconductor junctions driven out of equilibrium by quasiparticle injection
• Local analysis of a single impurity on a graphene Josephson Junction
• Electric instability in superconductor-normal conductor ring