Fulde-Ferrell states and Berezinskii-Kosterlitz-Thouless phase transition in two-dimensional imbalanced Fermi gases

Abstract

We study the superfluid properties of two-dimensional spin-population-imbalanced Fermi gases to explore the interplay between the Berezinskii-Kosterlitz-Thouless (BKT) phase transition and the possible instability towards the Fulde-Ferrell (FF) state. By the mean-field approximation together with quantum fluctuations, we obtain phase diagrams as functions of temperature, chemical potential imbalance and binding energy. We find that the fluctuations change the mean-field phase diagram significantly. We also address possible effects of the phase separation and/or the anisotropic FF phase to the BKT mechanism. The superfluid density tensor of the FF state is obtained, and its transverse component is found always vanishing. This causes divergent fluctuations and possibly precludes the existence of the FF state at any non-zero temperature.

19 pages, 10 figures, new references added (version accepted by Phys.Rev.B)

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Cited by in corpus (37)

• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases
• Gapless topological Fulde-Ferrell superfluidity in spin-orbit coupled Fermi gases
• Phase separation and pair condensation in a spin-imbalanced 2D Fermi gas
• Effects of spin-orbit coupling on the Berezinskii-Kosterlitz-Thouless transition and the vortex-antivortex structure in two-dimensional Fermi gases
• Berezinskii-Kosterlitz-Thouless Phase Transition in 2D Spin-Orbit Coupled Fulde-Ferrell Superfluids
• Ab initio lattice results for Fermi polarons in two dimensions
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Fermi Gases in the Two-Dimensional to Quasi-Two-Dimensional Crossover
• Fulde-Ferrell-Larkin-Ovchinnikov state of two-dimensional imbalanced Fermi gases
• Renormalization theory for the Fulde-Ferrell-Larkin-Ovchinnikov states at $T>0$
• Fluctuations of imbalanced fermionic superfluids in two dimensions induce continuous quantum phase transitions and non-Fermi liquid behavior
• Strongly-interacting bosons at 2D-1D Dimensional Crossover
• Superfluid phases of fermions with hybridized $s$ and $p$ orbitals
• Superfluid density and Berezinskii-Kosterlitz-Thouless transition of a spin-orbit coupled Fulde-Ferrell superfluid
• Dimensional crossover in a strongly interacting ultracold atomic Fermi gas
• Larkin-Ovchinnikov superfluidity in a two-dimensional imbalanced atomic Fermi gas
• Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Collective mode contributions to the Meissner effect: Fulde-Ferrell and pair-density wave superfluids
• Feasibility of a Fulde-Ferrell-Larkin-Ovchinnikov superfluid Fermi atomic gas
• Effective potential and quantum criticality for imbalanced Fermi mixtures
• Effective Hamiltonian with tunable mixed pairing in driven optical lattices
• Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal $m$-axial Lifshitz points
• Superfluid weight and Berezinskii-Kosterlitz-Thouless temperature of spin-imbalanced and spin-orbit-coupled Fulde-Ferrell phases in lattice 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
• Stabilising Fulde-Ferrel-Larkin-Ovchinnikov Superfluidity with long-range Interactions in a mixed dimensional Bose-Fermi System
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• Reciprocal and nonreciprocal paraconductivity in bilayer multiphase superconductors
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