Majorana fermions in one-dimensional spin-orbit coupled Fermi gases

Abstract

We theoretically study trapped one-dimensional Fermi gases in the presence of spin-orbit coupling induced by Raman lasers. The gas changes from a conventional (non-topological) superfluid to a topological superfluid as one increases the intensity of the Raman lasers above a critical chemical-potential dependent value. Solving the Bogoliubov-de Gennes equations self-consistently, we calculate the density of states in real and momentum space at finite temperatures. We study Majorana fermions (MFs) which appear at the boundaries between topologically trivial and topologically non-trivial regions. We linearize the trap near the location of a MF, finding an analytic expression for the localized MF wavefunction and the gap between the MF state and other edge states.

10 pages, 10 figures

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Cited by in corpus (47)

• Realization of 2D Spin-orbit Interaction and Exotic Topological Orders in Cold Atoms
• A Raman-induced Feshbach resonance in an effectively single-component Fermi gas
• Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application to Sr2RuO4
• Spin-Orbit Coupling and Spin Textures in Optical Superlattices
• A long-lived spin-orbit-coupled degenerate dipolar Fermi gas
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• Gapless topological Fulde-Ferrell superfluidity in spin-orbit coupled Fermi gases
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• Impurity probe of topological superfluid in one-dimensional spin-orbit coupled atomic Fermi gases
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• Large Chern Number Topological Superfluids in Coupled Layer System
• Superfluid density and Berezinskii-Kosterlitz-Thouless transition of a spin-orbit coupled Fulde-Ferrell superfluid
• Spin-exchange-induced exotic superfluids in a Bose-Fermi spinor mixture
• Three-dimensional spin-orbit coupled Fermi gases: Fulde-Ferrell pairing, Majorana fermions, Weyl fermions and gapless topological superfluidity
• Dynamical Detection of Topological Phase Transitions in Short-Lived Atomic Systems
• Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap
• Majorana fermions in quasi-1D and higher dimensional ultracold fermionic optical lattices
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• Majorana edge state in a number-conserving Fermi gas with tunable p-wave interaction
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• Angular topological superfluid and topological vortex in an ultracold Fermi gas
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• Swallowtail Structure in Fermi Superfluids with Periodically Modulated Interactions
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• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Route to observing topological edge modes in ultracold fermions