Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
arXiv:1410.3497 · doi:10.1142/S0217979215300017
Abstract
Topological Fermi superfluids have played the central role in various fields of physics. However, all previous studies focus on the cases where Cooper pairs have zero center-of-mass momenta (i.e. normal superfluids). The topology of Fulde-Ferrell superfluids with nonzero momentum pairings have never been explored until recent findings that Fulde-Ferrell superfluids in a spin-orbit coupled Fermi gas can accommodate Majorana fermions in real space in low dimensions and Weyl fermions in momentum space in three dimension. In this review, we first discuss the mechanism of pairings in spin-orbit coupled Fermi gases in optical lattices subject to Zeeman fields, showing that spin-orbit coupling as well as Zeeman fields enhance Fulde-Ferrell states while suppress Larkin-Ovchinnikov states. We then present the low temperature phase diagram including both FF superfluids and topological FF superfluids phases in both two dimension and three dimension. In one dimension, Majorana fermions as well as phase dependent order parameter are visualized. In three dimension, we show the properties of Weyl fermions in momentum space such as anisotropic linear dispersion, Fermi arch, and gaplessness away from . Finally, we discuss some possible methods to probe FF superfluids and topological FF superfluids in cold atom systems.
23 pages, 10 figures,an invited review article for International Journal of Modern Physics B
References in corpus (40)
- Non-Abelian Anyons and Topological Quantum Computation
- 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
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Theory of ultracold Fermi gases
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Spin-Orbit Coupled Spinor Bose-Einstein Condensates
- Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
- superfluid from s-wave interactions of fermionic cold atoms
- Spin-orbit coupled Bose-Einstein condensates
- Calorimetric Evidence for a Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in the Layered Organic Superconductor κ_2_2$
- Phase diagram of a strongly interacting polarized Fermi gas in one dimension
- Bright solitons in spin-orbit-coupled Bose-Einstein condensates
- Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
- Quasi-one-dimensional polarized Fermi superfluids
- Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid
- Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
- Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
- Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
- Unconventional superfluid in a two-dimensional Fermi gas with anisotropic spin-orbit coupling and Zeeman fields
- Finite temperature phase diagram of a polarized Fermi gas in an optical lattice
- Theory of quasi-one dimensional imbalanced Fermi gases
- Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance
- Stable Fulde-Ferrell-Larkin-Ovchinnikov pairing states in 2D and 3D optical lattices
- Effects of spin-orbit coupling on the Berezinskii-Kosterlitz-Thouless transition and the vortex-antivortex structure in two-dimensional Fermi gases
- Weyl Superfluidity in a Three-dimensional Dipolar Fermi Gas
- Berezinskii-Kosterlitz-Thouless Phase Transition in 2D Spin-Orbit Coupled Fulde-Ferrell Superfluids
- Pairing Superfluidity in Spin-Orbit Coupled Ultracold Fermi Gases
- Gapless topological Fulde-Ferrell superfluidity induced by in-plane Zeeman field
- Collective modes and the speed of sound in the Fulde-Ferrell-Larkin-Ovchinnikov state
- Unusual Zeeman-field effects in two-dimensional spin-orbit-coupled Fermi superfluids
- Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
- Noise correlations of the ultra-cold Fermi gas in an optical lattice
- Oscillatory pairing of fermions in spin-split traps
- Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap
- Thermodynamic Properties of Rashba Spin-Orbit-Coupled Fermi Gas
Cited by in corpus (7)
- Spin-orbit coupled Bose-Einstein condensates in a one-dimensional optical lattice
- Spin - orbital-angular-momentum coupling in Bose-Einstein condensates
- Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices
- Three-dimensional spin-orbit coupled Fermi gases: Fulde-Ferrell pairing, Majorana fermions, Weyl fermions and gapless topological superfluidity
- Interaction-induced exotic vortex states in an optical lattice clock with spin-orbit coupling
- Patterning by dynamically unstable spin-orbit-coupled Bose-Einstein condensates
- Fulde-Ferrell superfluids in an asymmetric three-component Fermi Gas