Emergence of Larkin-Ovchinnikov-type superconducting state in a voltage-driven superconductor

Abstract

We theoretically investigate a voltage-biased normal metal-superconductor-normal metal (N-S-N) junction. Using the nonequilibrium Green's function technique, we derive a quantum kinetic equation, to determine the superconducting order parameter self-consistently. The derived equation is an integral-differential equation with memory effects. We solve this equation by converting it into a system of ordinary differential equations with the use of a pole expansion of the Fermi-Dirac function. When the applied voltage exceeds the critical value, the superconductor switches to the normal state. We find that when the voltage is decreased from the normal phase, the system relaxes to a Larkin-Ovchinnikov (LO)-type inhomogeneous superconducting state, even in the absence of a magnetic Zeeman field. We point out that the emergence of the LO-type state can be attributed to the nonequilibrium energy distribution of electrons due to the bias voltage. We also point out that the system exhibits bistability, which leads to hysteresis in the voltage-current characteristic of the N-S-N junction.

arXiv comment20 pages, 14 figures

References in corpus (42)

• Time-dependent transport in interacting and non-interacting mesoscopic systems
• Nonequilibrium dynamical mean-field theory and its applications
• Quantum suppression of superconductivity in ultrathin nanowires
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Interior Gap Superfluidity
• Evidence of a nonequilibrium distribution of quasiparticles in the microwave response of a superconducting aluminium resonator
• Controlled vaporization of the superconducting condensate in cuprate superconductors sheds light on the pairing boson
• Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity
• Current-voltage characteristics of quasi-one-dimensional superconductors: An S-curve in the constant voltage regime
• Propagation Scheme for Non-Equilibrium Dynamics of Electron Transport in Nanoscale Devices
• Periodic Pulay method for robust and efficient convergence acceleration of self-consistent field iterations
• Efficient Numerical Self-consistent Mean-field Approach for Fermionic Many-body Systems by Polynomial Expansion on Spectral Density
• Local tunneling spectroscopy as signatures of the Fulde-Ferrell-Larkin-Ovchinnikov state in s- and d-wave Superconductors
• Spatially-resolved probing of a non-equilibrium superconductor
• Non-equilibrium phenomena in superconductors probed by femtosecond time-domain spectroscopy
• Critical voltage of a mesoscopic superconductor
• Evanescent states and non-equilibrium in driven superconducting nanowires
• Photoinduced time-resolved electrodynamics of superconducting metals and alloys
• Finite-temperature linear conductance from the Matsubara Green function without analytic continuation to the real axis
• Superconductivity in the presence of microwaves: Full phase diagram
• Time-linear quantum transport simulations with correlated nonequilibrium Green's functions
• Dynamical instability of a driven-dissipative electron-hole condensate in the BCS-BEC-crossover region
• Non-adiabatic Electron Pumping through Interacting Quantum Dots
• Bi-stability in voltage-biased NISIN structures
• N-independent Localized Krylov Bogoliubov-de Gennes Method: Ultra-fast Numerical Approach to Large-scale Inhomogeneous Superconductors
• Voltage-induced thin-film superconductivity in high magnetic fields
• Effect of Quasiparticles Injection on the AC Response of a Superconductor
• Fate of dynamical phases of a BCS superconductor beyond the dissipationless regimen
• Inhomogeneous state in non-equilibrium superconductor/normal metal tunnel structures: a LOFF-like phase for non-magnetic systems
• Spectral fingerprints of the non-linear dynamics of driven superconductors with dissipation
• Quasiclassical theory of charge transport across mesoscopic normal metal-superconducting heterostructures with current conservation
• In-plane FFLO instability in superconductor-normal metal bilayer system under non-equilibrium quasiparticle distribution
• Non-equilibrium strong-coupling theory for a driven-dissipative ultracold Fermi gas in the BCS-BEC crossover region
• Onset of superconductivity in a voltage-biased NSN microbridge
• Coherent manipulation of charge qubits in double quantum dots
• Microwave response of a superconductor beyond the Eliashberg theory
• Proposed Fermi-surface reservoir-engineering and application to realizing unconventional Fermi superfluids in a driven-dissipative non-equilibrium Fermi gas
• Phase diagram of the resistive state of the narrow superconducting channel in the voltage-driven regime
• Time-dependent framework for energy and charge currents in nanoscale systems
• Stable non-equilibrium Fulde-Ferrell-Larkin-Ovchinnikov state in a spin-imbalanced driven-dissipative Fermi gas loaded on a three-dimensional cubic optical lattice
• Dynamics of the resistive state of a narrow superconducting channel in the ac voltage driven regime
• Coherent response of a low T_c Josephson junction to an ultrafast laser pulse

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• Superconducting bistability in floating Al islands of hybrid Al/InAs nanowires
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• Emergence of Charge-Imbalanced BCS State and Suppression of Nonequilibrium FFLO State in Asymmetric NSN Junctions