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.

20 pages, 14 figures

References in corpus (15)

• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Controlled vaporization of the superconducting condensate in cuprate superconductors sheds light on the pairing boson
• Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity
• Spatially-resolved probing of a non-equilibrium superconductor
• Time-linear quantum transport simulations with correlated nonequilibrium Green's functions
• Effect of Quasiparticles Injection on the AC Response of a Superconductor
• Fate of dynamical phases of a BCS superconductor beyond the dissipationless regimen
• Quasiclassical theory of charge transport across mesoscopic normal metal-superconducting heterostructures with current conservation
• Spectral fingerprints of the non-linear dynamics of driven superconductors with dissipation
• Onset of superconductivity in a voltage-biased NSN microbridge
• Non-equilibrium strong-coupling theory for a driven-dissipative ultracold Fermi gas in the BCS-BEC crossover region
• Proposed Fermi-surface reservoir-engineering and application to realizing unconventional Fermi superfluids in a driven-dissipative non-equilibrium Fermi gas
• Coherent manipulation of charge qubits in double quantum dots
• Phase diagram of the resistive state of the narrow superconducting channel in the voltage-driven regime
• Stable non-equilibrium Fulde-Ferrell-Larkin-Ovchinnikov state in a spin-imbalanced driven-dissipative Fermi gas loaded on a three-dimensional cubic optical lattice

Cited by in corpus (5)

• Nonequilibrium BCS-BEC crossover and unconventional FFLO superfluid in a strongly interacting driven-dissipative Fermi gas
• Engineering nonequilibrium superconducting phases in a voltage-driven superconductor under an external magnetic field
• Superconducting bistability in floating Al islands of hybrid Al/InAs nanowires
• Nonequilibrium electron distribution function in a voltage-biased nanowire: A nonequilibrium Green's function approach
• Emergence of Charge-Imbalanced BCS State and Suppression of Nonequilibrium FFLO State in Asymmetric NSN Junctions