Fulde-Ferrell-Larkin-Ovchinnikov state of two-dimensional imbalanced Fermi gases

Abstract

The ground-state phase diagram of attractively-interacting Fermi gases in two dimensions with a population imbalance is investigated. We find the regime of stability for the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase, in which pairing occurs at finite wave vector, and determine the magnitude of the pairing amplitude $\Delta$ and FFLO wavevector $q$ in the ordered phase, finding that $\Delta$ can be of the order of the two-body binding energy. Our results rely on a careful analysis of the zero temperature gap equation for the FFLO state, which possesses nonanalyticities as a function of $\Delta$ and $q$, invalidating a Ginzburg-Landau expansion in small $\Delta$.

16 pages. 14 figure files. Submitted to Physical Review A

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• Larkin-Ovchinnikov superfluidity in a two-dimensional imbalanced atomic Fermi gas
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Unconventional superconductivity of an altermagnetic metal: Polarized BCS and inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov states
• Effective potential and quantum criticality for imbalanced Fermi mixtures
• Fermi surface segmentation in the helical state of a Rashba superconductor
• Momentum space imaging of the FFLO state
• Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
• Quantum Lifshitz points in an altermagnetic metal
• Stabilising Fulde-Ferrel-Larkin-Ovchinnikov Superfluidity with long-range Interactions in a mixed dimensional Bose-Fermi System
• Hartree-Fock-Bogoliubov theory of trapped one-dimensional imbalanced Fermi systems
• Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part II: Effects of population imbalance
• Two-dimensional Fermi gas in antiparallel magnetic fields
• Two-dimensional spin-imbalanced Fermi gases at non-zero temperature: Phase separation of a non-condensate
• Trapped imbalanced fermionic superfluids in one dimension: A variational approach
• Dynamical magnetic response in superconductors with finite momentum pairs
• Two-dimensional imbalanced Fermi gas in antiparallel magnetic fields
• Repulsive fermions and shell effects on the surface of a sphere
• Fulde-Ferrell superfluids in an asymmetric three-component Fermi Gas
• Finite momentum condensate brought on by Zeeman field