Fulde-Ferrell-Larkin-Ovchinnikov state in disordered s-wave superconductors

Abstract

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is a superconducting state stabilized by a large Zeeman splitting between up- and down-spin electrons in a singlet superconductor. In the absence of disorder, the superconducting order parameter has a periodic spatial structure, with periodicity determined by the Zeeman splitting. Using the Bogoliubov-de Gennes (BdG) approach, we investigate the spatial profiles of the order parameters of FFLO states in a two-dimensional s-wave superconductors with nonmagnetic impurities. The FFLO state is found to survive under moderate disorder strength, and the order parameter structure remains approximately periodic. The actual structure of the order parameter depends on not only the Zeeman field, but also the disorder strength and in particular the specific disorder configuration.

9 pages, 6 figures; minor change to text and added references; version as published

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• Influence of $s_{\pm }$ symmetry on unconventional superconductivity in pnictides above the Pauli limit -- two-band model study
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Quantum phase transition in the Fulde-Ferrell-Larkin-Ovchinnikov states of a two dimensional d-wave superconductor upon increasing the exchange field
• Strong coupling s-wave superconductors in the extreme Pauli limit: I.The breached pair and metastable FFLO phases
• Population imbalanced lattice fermions near the BCS-BEC crossover: II. The FFLO regime and its thermal signatures
• Population imbalanced lattice fermions near the BCS-BEC crossover: I.The breached pair and metastable FFLO phases
• Disordered Fulde-Ferrel-Larkin-Ovchinnikov State in d-wave Superconductors
• Mystery of Excess Low Energy States in a Disordered Superconductor in a Zeeman Field
• Disorder-robust high-field superconducting phase of FeSe single crystals
• Zeeman-limited Superconductivity in Crystalline Al Films
• Interplay of Superconductivity and Spin-Dependent Disorder
• The extended Lawrence-Doniach model: the temperature evolution of the in-plane magnetic field anisotropy
• Asymmetric Avalanches in the Condensate of a Zeeman-limited Superconductor
• Interplay between the Fulde-Ferrell phase and Larkin-Ovchinnikov phase in the superconducting ring pierced by an Aharonov-Bohm flux
• Re-entrant Fulde-Ferrell-Larkin-Ovchinnikov State in Small-Sized Superconductors
• Spectroscopic signatures of the Larkin-Ovchinnikov state in the conductance characteristics of a normal-metal/superconductor junction
• Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling
• Interaction-induced localization of fermionic mobile impurities in a Larkin-Ovchinnikov superfluid
• Fulde-Ferrell-Larkin-Ovchinnikov state in strongly correlated d-wave superconductors
• Upper critical fields in high-$T_{\mathrm{c}}$ superconductors
• Anderson Localization in Degenerate Spin-Orbit Coupled Fermi Gases with Disorder
• Switchable chiral 2x2 pair density wave in pure CsV3Sb5
• Phase-sensitive evidence for pair density waves in a kagome superconductor
• The Gor'kov and Melik-Barkhudarov correction to the mean-field critical field transition to Fulde-Ferrell-Larkin-Ovchinnikov states
• Finite momentum condensate brought on by Zeeman field
• Competing ferromagnetic superconducting states in europium-based iron pnictides
• Topological pair density waves in kagome superconductors