Topological Superfluids with Finite Momentum Pairing and Majorana Fermions

Abstract

Majorana fermions, quantum particles that are their own anti-particles, are not only of fundamental importance in elementary particle physics and dark matter, but also building blocks for fault-tolerant quantum computation. Recently Majorana fermions have been intensively studied in solid state and cold atomic systems. These studies are generally based on superconducting pairing between two Fermions with opposite momenta (\textit{% i.e.}, zero total momentum). On the other hand, finite total momentum Cooper pairings, known as Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states, were predicted 50 years ago and then widely studied in many branches of physics. However, whether FFLO superconductors can also support Majorana fermions has not been explored. Here we show that Majorana fermions can exist in certain types of gapped FFLO states, yielding a new topological quantum matter: topological FFLO superfluids/superconductors. We demonstrate the existence of such topological FFLO superfluids and the associated Majorana fermions using spin-orbit coupled degenerate Fermi gases and derive their physical parameter regions. The potential implementation of topological FFLO superconductors in semiconductor/superconductor heterostructures are also discussed.

arXiv comment7 pages, 5 figures, figure 1 is updated, minor typos are corrected

References in corpus (48)

• Non-Abelian Anyons and Topological Quantum Computation
• Berry Phase Effects on Electronic Properties
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• A spin-orbit coupled Bose-Einstein condensate
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Spin-Orbit Coupled Degenerate Fermi Gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Coexistence of Magnetic Order and Two-dimensional Superconductivity at LaAlO${}_3$/SrTiO${}_3$ Interfaces
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Collective Dipole Oscillation of a Spin-Orbit Coupled Bose-Einstein Condensate
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Spin-Imbalance in a One-Dimensional Fermi Gas
• Explosive Dark Matter Annihilation
• S-wave/spin-triplet order in superconductors without inversion symmetry: Li${}_2$Pd${}_3$B and Li${}_2$Pt${}_3$B
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Unconventional Josephson Effect in Hybrid Superconductor-Topological Insulator Devices
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise
• Observation of Zitterbewegung in a spin-orbit coupled Bose-Einstein condensate
• Realistic Rashba and Dressehaus spin-orbit coupling for neutral atoms
• Observation of a pairing pseudogap in a two-dimensional Fermi gas
• Superconductivity and Ferromagnetism in Oxide Interface Structures: Possibility of Finite Momentum Pairing
• Finite temperature phase diagram of a polarised Fermi condensate
• Magnetically generated spin-orbit coupling for ultracold atoms
• Evolution of Fermion Pairing from Three to Two Dimensions
• Tomographic RF Spectroscopy of a Trapped Fermi Gas at Unitarity
• Topological Fulde-Ferrel-Larkin-Ovchinnikov states in Spin-orbit Coupled Fermi Gases
• Mean field phase diagrams of imbalanced Fermi gases near a Feshbach resonance
• Time reversal non-invariant non-Abelian topological order in non-centrosymmetric superconductors
• Chiral Rashba spin textures in ultra-cold Fermi gases
• Unconventional superfluid in a two-dimensional Fermi gas with anisotropic spin-orbit coupling and Zeeman fields
• Searching for Majorana Fermions in 2D Spin-orbit Coupled Fermi Superfluids at Finite Temperature
• Topological superfluid in one-dimensional spin-orbit coupled atomic Fermi gases
• Route to Observable Fulde-Ferrell-Larkin-Ovchinnikov Phases in 3D Spin-Orbit Coupled Degenerate Fermi Gases
• Who is the Lord of the Rings: Majorana, Dirac or Lifshitz? The Spin-Orbit-Zeeman Saga in Ultra-cold Fermions
• Competing superfluid orders in spin-orbit coupled fermionic cold atom optical lattices
• Finite-Momentum Dimer Bound State in Spin-Orbit Coupled Fermi Gas
• Hole-doped semiconductor nanowire on top of an s-wave superconductor: A new and experimentally accessible system for Majorana fermions
• Inhomogeneous Fulde-Ferrell superfluidity in spin-orbit coupled atomic Fermi gases

Cited by in corpus (98)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• Experimental observation of a topological band gap opening in ultracold Fermi gases with two-dimensional spin-orbit coupling
• Observation of symmetry-protected topological band with ultracold fermions
• 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
• High Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases
• Spin - orbital-angular-momentum coupling in Bose-Einstein condensates
• Interacting spin-orbit-coupled spin-1 Bose-Einstein condensates
• Anisotropic Weyl Fermions from Quasiparticle Excitation Spectrum of a 3D Fulde-Ferrell Superfluid
• Motion of solitons in one-dimensional spin-orbit-coupled Bose-Einstein condensates
• Inhomogeneous Topological Superfluidity in One-Dimensional Spin-Orbit-Coupled Fermi Gases
• Spin-tensor--momentum-coupled Bose-Einstein condensates
• Quantum phases of Bose-Einstein condensates with synthetic spin - orbital-angular-momentum coupling
• Gapless topological Fulde-Ferrell superfluidity in spin-orbit coupled Fermi gases
• Dynamical topological phases in quenched spin-orbit coupled degenerate Fermi gas
• Phase Asymmetry of Andreev Spectra From Cooper-Pair Momentum
• 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
• Spin-orbit coupling and topological phases for ultracold atoms
• Transport through a quantum dot coupled to two Majorana bound states
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• The evolution of magnetic structure driven by a synthetic spin-orbit coupling in two-component Bose-Hubbard model
• Ferromagnetism in a two-component Bose-Hubbard model with a synthetic spin-orbit coupling
• Three-component Ultracold Fermi Gases with Spin-Orbit Coupling
• Supercurrent-induced topological phase transitions
• Exotic Vortex States with Discrete Rotational Symmetry in Atomic Fermi Gases with Spin-Orbital-Angular-Momentum Coupling
• Gapless topological Fulde-Ferrell superfluidity induced by in-plane Zeeman field
• Generating Giant Vortex in a Fermi Superfluid via Spin-Orbital-Angular-Momentum Coupling
• Fulde-Ferrell Superfluids without Spin Imbalance in Driven Optical Lattices
• Flux-Stabilized Majorana Zero Modes in Coupled One-Dimensional Fermi Wires
• Topological superradiant state in Fermi gases with cavity induced spin-orbit coupling
• The Pairing of Spin-orbit Coupled Fermi Gas in Optical Lattice
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
• Spin-Imbalanced Pairing and Fermi Surface Deformation in Flat Bands
• 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
• Topological Fulde-Ferrell states in alkaline-earth-metal-like atoms near an orbital Feshbach resonance
• Topological Larkin-Ovchinnikov phase and Majorana zero mode chain in bilayer superconducting topological insulator films
• From semimetal to chiral Fulde-Ferrell superfluids
• 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
• Time Translation Symmetry Breaking in an Isolated Spin-Orbit-Coupled Fluid of Light
• Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap
• Majorana Doublets, Flat Bands, and Dirac Nodes in s-Wave Superfluids
• Fulde-Ferrell-Larkin-Ovchinnikov state to topological superfluidity transition in bilayer spin-orbit coupled degenerate Fermi gas
• Majorana fermions in quasi-1D and higher dimensional ultracold fermionic optical lattices
• Inhomogeneous superconductivity in the presence of time-reversal symmetry
• Topological quantum phase transitions and edge states in spin-orbital coupled Fermi gases
• Rashba versus Kohn-Luttinger: Evolution of p-wave superconductivity in magnetized two-dimensional Fermi gas subject to spin-orbit interaction
• Majorana zero modes on a 1D chain for quantum computation
• Spontaneous magnetization in unitary superconductors with time reversal symmetry breaking
• Thermodynamic Properties of Rashba Spin-Orbit-Coupled Fermi Gas
• Topological Superconductivity in Monolayer T${}_{\text{d}}$-MoTe${}_2$
• Larkin-Ovchinnikov state of superconducting Weyl metals: Fundamental differences between pairings restricted and extended in the $\text{k}$-space
• Angular topological superfluid and topological vortex in an ultracold Fermi gas
• Multiorder topological superfluid phase transitions in a two-dimensional optical superlattice
• Superconductivity in a Magnetic Rashba Semimetal EuAuBi
• Topological phases in pseudospin-1 Fermi gases with two-dimensional spin-orbit coupling
• Phase diagram, band structure and density of states in two-dimensional attractive Fermi-Hubbard model with Rashba spin-orbit coupling
• Superfluid weight and Berezinskii-Kosterlitz-Thouless temperature of spin-imbalanced and spin-orbit-coupled Fulde-Ferrell phases in lattice systems
• Orbital hybridized topological Fulde-Ferrel superfluidity in a noncentrosymmetric optical lattice
• BCS-BEC crossover and quantum phase transition in an ultracold Fermi gas under spin-orbit coupling
• Weyl spin-orbit-coupling-induced interactions in uniform and trapped atomic quantum fluids
• Supercurrent-Induced Weyl Superconductivity
• Detecting Fulde-Ferrell superconductors by an Andreev interferometer
• Majorana modes in striped two-dimensional inhomogeneous topological superconductors
• Exotic Topological States with Raman-Induced Spin-Orbit Coupling
• Unconventional pairings of spin-orbit coupled attractive degenerate Fermi gas in a one dimensional optical lattice
• Manipulating Cooper pairs with a controllable momentum in periodically driven degenerate Fermi gases
• Implementing Majorana fermions in a cold-atom honeycomb lattice with textured pairings
• Larkin-Ovchinikov superfluidity in time-reversal symmetric bilayer Fermi gases
• Coexistence of topological and nontopological Fermi-superfluid phases
• Topological superfluids on a square optical lattice with non-Abelian gauge fields: Effects of next-nearest-neighbor hopping in the BCS-BEC evolution
• Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling
• 1D topological chains with Majorana fermions in 2D non-topological optical lattices
• Phase tunable Josephson junction and spontaneous mass current in a spin-orbit coupled Fermi superfluid
• Spin-orbit coupled repulsive Fermi atoms in a one-dimensional optical lattice
• Time-reversal-invariant spin-orbit-coupled bilayer Bose-Einstein Condensates
• Majorana Fermions in Semiconducting Nanowires on the Top of Fulde-Ferrell Superconductor
• Itinerant magnetism in Weyl spin-orbit coupled Fermi gas
• Momentum-space Aharonov-Bohm interferometry in Rashba spin-orbit coupled Bose-Einstein condensates
• Topological Fulde-Ferrell Superfluids in Triangular Lattices
• Field-free Superconducting Diode Effect and Topological Fulde-Ferrell Superconductivity in Altermagnetic Shiba Chains
• Topological superfluids in two-dimensional Fermi gas with Rashba spin-orbit coupling
• Fate of Majorana zero modes by a modified real-space-Pfaffian method and mobility edges in a one-dimensional quasiperiodic lattice
• $\mathcal{P}\mathcal{T}$-Symmetry Enhanced Berezinskii-Kosterlitz-Thouless Superfluidity
• SU(2) Ginzburg-Landau theory for degenerate Fermi gases with synthetic non-Abelian gauge fields
• Anomalous isothermal compressibility in spin-orbit coupled degenerate Fermi gases
• Fulde-Ferrell superfluids in an asymmetric three-component Fermi Gas
• Topological Fulde-Ferrell and Larkin-Ovchinnikov states in spin-orbit coupled lattice system
• Topological Superfluidity of Spin-Orbit Coupled Bilayer Fermi Gases
• Exotic superfluid of trapped Fermi gases with spin-orbit coupling in dimensional crossover
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance