Spin-orbit coupling induced Fulde-Ferrell-Larkin-Ovchinnikov-like Cooper pairing and skyrmion-like polarization textures in trapped optical lattices

Abstract

We study the interplay between the Zeeman field and spin-orbit coupling (SOC) in harmonically trapped Fermi gases loaded into a two-dimensional single-band tight-binding optical lattice. Using the Bogoliubov-de Gennes theory, we find that the Zeeman field combined with a Rashba SOC gives rise to $(i)$ Fulde-Ferrell-like superfluidity and $(ii)$ skyrmion-like polarization textures near the edges of the system. We also discussed the effects of interaction, temperature, SOC anisotropy and Zeeman field anisotropy on the superfluid ground state and polarization textures.

8 pages with 4 figures; improved presentation

References in corpus (10)

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• Fulde-Ferrell Pairing instability in Spin-Orbit Coupled Fermi Gas
• Radio-frequency spectroscopy of a strongly interacting spin-orbit coupled Fermi gas
• Exotic pairing states in a Fermi gas with three-dimensional spin-orbit coupling
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Cited by in corpus (26)

• Topological Fulde-Ferrel-Larkin-Ovchinnikov states in Spin-orbit Coupled Fermi Gases
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Anisotropic Weyl Fermions from Quasiparticle Excitation Spectrum of a 3D Fulde-Ferrell Superfluid
• Competing superfluid orders in spin-orbit coupled fermionic cold atom optical lattices
• Berezinskii-Kosterlitz-Thouless Phase Transition in 2D Spin-Orbit Coupled Fulde-Ferrell Superfluids
• Enhancement effect of mass imbalance on Fulde-Ferrell-Larkin-Ovchinnikov type of pairing in Fermi-Fermi mixtures of ultracold quantum gases
• Ultracold atoms in a square lattice with spin-orbit coupling: Charge order, superfluidity, and topological signatures
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Instability of Fulde-Ferrell-Larkin-Ovchinnikov states in three and two dimensions
• Unconventional Fulde-Ferrell-Larkin-Ovchinnikov pairing states in a Fermi gas with spin-orbit coupling
• Realizing Fulde-Ferrell Superfluids via a Dark-State Control of Feshbach Resonances
• Spin-Imbalanced Pairing and Fermi Surface Deformation in Flat Bands
• Superfluid density and Berezinskii-Kosterlitz-Thouless transition of a spin-orbit coupled Fulde-Ferrell superfluid
• Three-dimensional spin-orbit coupled Fermi gases: Fulde-Ferrell pairing, Majorana fermions, Weyl fermions and gapless topological superfluidity
• Spin-Imbalanced Fermi Superfluidity in a Lieb Lattice Hubbard Model
• Spin-orbit coupled ultracold gases in optical lattices: High-band physics and insufficiency of tight-binding models
• From antiferromagnetic order to magnetic textures in the two dimensional Fermi Hubbard model with synthetic spin orbit interaction
• Spin-orbit-coupled atomic Fermi gases in two-dimensional optical lattices in the presence of a Zeeman field
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Superfluid weight and Berezinskii-Kosterlitz-Thouless temperature of spin-imbalanced and spin-orbit-coupled Fulde-Ferrell phases in lattice systems
• Phase diagram, band structure and density of states in two-dimensional attractive Fermi-Hubbard model with Rashba spin-orbit coupling
• BCS-BEC crossover and quantum phase transition in an ultracold Fermi gas under spin-orbit coupling
• Rotating a Rashba-coupled Fermi gas in two dimensions
• Skyrmion-like textures in superconductors with competing order
• Topological superfluids on a square optical lattice with non-Abelian gauge fields: Effects of next-nearest-neighbor hopping in the BCS-BEC evolution
• Interplay between Rashba spin-orbit coupling and adiabatic rotation in a two-dimensional Fermi gas