Majorana Doublets, Flat Bands, and Dirac Nodes in s-Wave Superfluids

Abstract

Topological superfluids protected by mirror and time-reversal symmetries are exotic states of matter possessing Majorana Kramers pairs (MKPs), yet their realizations have long been hindered by the requirement of unconventional pairing. We propose to realize such a topological superfluid by utilizing $s$-wave pairing and emergent mirror and time-reversal symmetries in two coupled 1D ultracold atomic Fermi gases with spin-orbit coupling. By stacking such systems into 2D, we discover topological and Dirac-nodal superfluids hosting distinct MKP flat bands. We show that the emergent symmetries make the MKPs and their flat bands stable against pairing fluctuations that otherwise annihilate paired Majoranas. Exploiting new experimental developments, our scheme provides a unique platform for exploring MKPs and their applications in quantum computation.

14 pages, 11 figures

References in corpus (24)

• 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
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Spin-orbit coupled fermions in an optical lattice clock
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• High-Temperature Majorana Corner States
• Tomographic RF Spectroscopy of a Trapped Fermi Gas at Unitarity
• Time-Reversal-Invariant $Z_4$ Fractional Josephson Effect
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Majorana Fermions: The race continues
• Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
• Single Impurity In Ultracold Fermi Superfluids
• DIII Topological Superconductivity with Emergent Time-Reversal Symmetry
• Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap
• Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases

Cited by in corpus (8)

• Majorana corner modes in a high-temperature platform
• Second-order Dirac superconductors and magnetic field induced Majorana hinge modes
• Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices
• Fermionized parafermions and symmetry-enriched Majorana modes
• Quantum Computing with Majorana Kramers Pairs
• Majorana multipole response: General theory and application to wallpaper groups
• Exact analytical solution of a time-reversal-invariant topological superconducting wire
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry