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

References in corpus (11)

• 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
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Tomographic RF Spectroscopy of a Trapped Fermi Gas at Unitarity
• Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid
• Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance

Cited by in corpus (17)

• Topological States in a One-Dimensional Fermi Gas with Attractive Interactions
• Universal impurity-induced bound state in topological superfluids
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Weyl Superfluidity in a Three-dimensional Dipolar Fermi Gas
• Soliton-induced Majorana fermions in a one-dimensional atomic topological superfluid
• Magnetic field dependence of Raman coupling in Alkali atoms
• Impurity probe of topological superfluid in one-dimensional spin-orbit coupled atomic Fermi 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
• Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap
• Angular topological superfluid and topological vortex in an ultracold Fermi gas
• Dynamic structure factor of one-dimensional Fermi superfluid with spin-orbit coupling
• Probing two Higgs oscillations in a one-dimensional Fermi superfluid with Raman-type spin-orbit coupling
• Two types of dark solitons in a spin-orbit-coupled Fermi gas
• Three-component topological superfluid in one-dimensional Fermi gases with spin-orbit coupling
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators