Mirror Majorana zero modes in spinful superconductors/superfluids -Non-Abelian braiding of integer quantum vortices-

Abstract

It has been widely believed that half quantum vortices are indispensable to realize topological stable Majorana zero modes and non-Abelian anyons in spinful superconductors/superfluids. Contrary to this wisdom, we here demonstrate that integer quantum vortices in spinful superconductors can host topologically stable Majorana zero modes because of the mirror symmetry. The symmetry protected Majorana fermions may exhibit non-Abelian anyon braiding.

6 pages, 2 figures

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Cited by in corpus (24)

• Classification of topological quantum matter with symmetries
• Topology of crystalline insulators and superconductors
• Majorana Fermions and Topology in Superconductors
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Topological Crystalline Superconductivity in Locally Non-centrosymmetric Multilayer Superconductors
• Time-Reversal Invariant Superconductivity of Sr${}_2$RuO${}_4$ Revealed by Josephson Effects
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Superconducting doped topological materials
• Andreev-Majorana bound states in superfluids
• Symmetry-protected non-Abelian braiding of Majorana Kramers' pairs
• Demonstrating Lattice-Symmetry-Protection in Topological Crystalline Superconductors
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• $AbInitio$ Simulation of Non-Abelian Braiding Statistics in Topological Superconductors
• Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly
• Symmetry protected vortex bound state in superfluid ${}^3$He B-phase
• Microscopic description of axisymmetric vortices in ${}^3{P}_2$ superfluids
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Anisotropic paramagnetic response of topological Majorana surface states in the superconductor ${\text{UTe}}_2$
• Topological superconductivity induced by a Kitaev spin liquid
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Strong-coupling approach to temperature dependence of competing orders of superconductivity: Possible time-reversal symmetry breaking and nontrivial topology
• Majorana edge states and topological properties in 1D/2D Rashba semiconductor proximity coupled to iron-based superconductor
• Excitation spectra and wave functions of quasiparticle bound states in bilayer Rashba superconductors