Radial Fulde-Ferrell-Larkin-Ovchinnikov state in a population-imbalanced Fermi gas

Abstract

The possibility of a Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state in a population imbalanced Fermi gas with a vortex is proposed. Employing the Bogoliubov-de-Gennes formalism we self-consistently determine the superfluid order parameter and the particle number density in the presence of a vortex. We find that as increasing population imbalance, the superfluid order parameter spatially oscillates around the vortex core in the radial direction, indicating that the FFLO state becomes stable. We find that the radial FFLO states cover a wide region of the phase diagram in the weak-coupling regime at $T=0$ in contrast to the conventional case without a vortex. We show that this inhomogeneous superfluidity can be detected as peak structures of the local polarization rate associated with the node structure of the superfluid order parameter. Since the vortex in the 3D Fermi gas with population imbalance has been already realized in experiments, our proposal is a promising candidate of the FFLO state in cold atom physics.

7 pages, 4 figures

References in corpus (26)

• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• BEC-BCS crossover, phase transitions and phase separation in polarized resonantly-paired superfluids
• Evidence of Andreev bound states as a hallmark of the FFLO phase in $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
• Quasi-one-dimensional polarized Fermi superfluids
• Phase diagram of a cold polarized Fermi gas
• Mean field phase diagrams of imbalanced Fermi gases near a Feshbach resonance
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Anomalous In-Plane Anisotropy of the Onset of Superconductivity in (TMTSF)2ClO4
• Generic Phase Diagram of Fermion Superfluids with Population Imbalance
• Breakdown of Fermi liquid description for strongly interacting fermions
• Thermodynamic evidence for the Fulde-Ferrell-Larkin-Ovchinnikov state in the KFe2As2 superconductor
• Crystalline order in superfluid 3He films
• Larkin-Ovchinnikov state in resonant Fermi gas
• FFLO state in 1, 2, and 3 dimensional optical lattices combined with a non-uniform background potential
• Superfluidity at the BEC-BCS crossover in two-dimensional Fermi gases with population and mass imbalance
• Mean field thermodynamics of a spin-polarized spherically trapped Fermi gas at unitarity
• Imbalanced Superfluid Phase of a Trapped Fermi Gas in the BCS-BEC Crossover Regime
• Vortex Core Structure in Neutral Fermion Superfluids with Population Imbalance
• Concomitant Modulated Superfluidity In Polarized Fermionic Gases
• Bogoliubov-de Gennes study of trapped spin-imbalanced unitary Fermi gases
• Stripe order in superfluid 3He confined in narrow cylinders
• Magnetization profile and core level spectroscopy in a multiply quantized vortex of imbalanced Fermi superfluids

Cited by in corpus (8)

• Universal Aspects of Vortex Reconnections across the BCS-BEC Crossover
• Dynamics of spin-polarized impurity in ultracold Fermi gas
• Spin-polarized vortices with reversed circulation
• Disordered structures in ultracold spin-imbalanced Fermi gas
• Quantum vortices in fermionic superfluids: from ultracold atoms to neutron stars
• Majorana modes in striped two-dimensional inhomogeneous topological superconductors
• Vortex lattice in spin-imbalanced unitary Fermi gas
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance