Inhomogeneous Topological Superfluidity in One-Dimensional Spin-Orbit-Coupled Fermi Gases

Abstract

We theoretically predict an exotic topological superfluid state with spatially modulated pairing gap in one-dimensional spin-orbit-coupled Fermi gases. This inhomogeneous topological superfluidity is induced by applying simultaneously a perpendicular Zeeman magnetic field and an equally weighted Rashba and Dresselhaus spin-orbit coupling in one-dimensional optical lattices. Based on the self-consistent Bogoliubov--de Gennes theory, we confirm that this novel topological phase is a unique condensation of Cooper pairs, which manifests the interplay between the inhomogeneity of superfluid and its nontrivial topological structure. The properties of the emergent Majorana bound states are investigated in detail by examining the associated ${\mathbb{Z}}_2$ topological number, the eigenenergy and density of states spectra, as well as the wave functions of the localized Majorana end modes. Experimental feasibility of observing this new topological state of matter is also discussed.

5 pages, 3 figures and Supplemental Material of 13 pages, 3 figures

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Cited by in corpus (49)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• Spin-orbit coupled fermions in an optical lattice clock
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Spin - orbital-angular-momentum coupling in Bose-Einstein condensates
• Anisotropic Weyl Fermions from Quasiparticle Excitation Spectrum of a 3D Fulde-Ferrell Superfluid
• Gapless topological Fulde-Ferrell superfluidity in spin-orbit coupled Fermi gases
• Quantum phases of Bose-Einstein condensates with synthetic spin - orbital-angular-momentum coupling
• Dynamical topological phases in quenched spin-orbit coupled degenerate Fermi gas
• Berezinskii-Kosterlitz-Thouless Phase Transition in 2D Spin-Orbit Coupled Fulde-Ferrell Superfluids
• Pairing Superfluidity in Spin-Orbit Coupled Ultracold Fermi Gases
• Multiple signatures of topological transitions for interacting fermions in chain lattices
• General framework for transport in spin-orbit-coupled superconducting heterostructures: Nonuniform spin-orbit coupling and spin-orbit-active interfaces
• Transport through a quantum dot coupled to two Majorana bound states
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Three-component Ultracold Fermi Gases with Spin-Orbit Coupling
• Gapless topological Fulde-Ferrell superfluidity induced by in-plane Zeeman field
• Exotic Vortex States with Discrete Rotational Symmetry in Atomic Fermi Gases with Spin-Orbital-Angular-Momentum Coupling
• Generating Giant Vortex in a Fermi Superfluid via Spin-Orbital-Angular-Momentum Coupling
• Flux-Stabilized Majorana Zero Modes in Coupled One-Dimensional Fermi Wires
• Fulde-Ferrell Superfluids without Spin Imbalance in Driven Optical Lattices
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
• Momentum-Space Spin Texture in a Topological Superconductor
• Spin-orbital-angular-momentum-coupled quantum gases
• Large Chern Number Topological Superfluids in Coupled Layer System
• 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
• Topological Fulde-Ferrell states in alkaline-earth-metal-like atoms near an orbital Feshbach resonance
• Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap
• Topological phase transition in the quench dynamics of a one-dimensional Fermi gas
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• Swallowtail Structure in Fermi Superfluids with Periodically Modulated Interactions
• Exotic Haldane Superfluid Phase of Soft-Core Bosons in Optical Lattices
• Unconventional pairings of spin-orbit coupled attractive degenerate Fermi gas in a one dimensional optical lattice
• Fulde-Ferrell superfluids in spinless ultracold Fermi gases
• Larkin-Ovchinikov superfluidity in time-reversal symmetric bilayer Fermi gases
• Jackiw-Rebbi-type bound state carrying fractional fermion parity
• Phase tunable Josephson junction and spontaneous mass current in a spin-orbit coupled Fermi superfluid
• Topological Fulde-Ferrell Superfluids in Triangular Lattices
• Fate of Majorana zero modes by a modified real-space-Pfaffian method and mobility edges in a one-dimensional quasiperiodic lattice
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• Fulde-Ferrell superfluids in an asymmetric three-component Fermi Gas
• Topological Fulde-Ferrell and Larkin-Ovchinnikov states in spin-orbit coupled lattice system
• SU(2) Ginzburg-Landau theory for degenerate Fermi gases with synthetic non-Abelian gauge fields