Topological phases of quasi-one-dimensional fermionic atoms with a synthetic gauge field

Abstract

We theoretically investigate the effect of intertube tunneling in topological superfluid phases of a quasi-one-dimensional Fermi gas with a Rashba-type spin-orbit interaction. It is shown that the effective Hamiltonian is analogous to that of a nanowire topological superconductor with multibands. Using a hidden mirror symmetry in the system, we introduce a new topological number that ensures the existence of non-Abelian Majorana zero modes even in the presence of intertube tunneling. It is demonstrated from the full numerical calculation of self-consistent equations that some of Majorana modes survive against the intertube tunneling, when the number of one-dimensional tubes is odd in the $y$-direction. We also discuss a generalization of our consideration to nanowire topological superconductors.

16 pages, 5 figures

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• UPt${}_3$ as a Topological Crystalline Superconductor
• Classification of Crystalline Topological Insulators and Superconductors with Point Group Symmetries
• Majorana bound states in open quasi-1D and 2D systems with transverse Rashba coupling
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• Topological Properties of Time Reversal Symmetric Kitaev Chain and Applications to Organic Superconductors
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• Symmetry Protected Topological Superfluid ${}^3$He-B
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• The fate and heir of Majorana zero modes in a quantum wire array
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• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• Mirror Majorana zero modes in spinful superconductors/superfluids -Non-Abelian braiding of integer quantum vortices-
• FFLO or Majorana superfluids: The fate of fermionic cold atoms in spin-orbit coupled optical lattices
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• New types of topological superconductors under local magnetic symmetries
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• Topology of critical chiral phases: multiband insulators and superconductors
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• Majorana fermions in quasi-1D and higher dimensional ultracold fermionic optical lattices
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• Tunable topological phases with fermionic atoms in a one-dimensional flux lattice
• Majorana modes in multiband superconducting quantum wires
• 1D topological chains with Majorana fermions in 2D non-topological optical lattices
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
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• Phase diagrams of superconducting topological surface states