New class of topological superconductors protected by magnetic group symmetries

Abstract

We study a new type of three-dimensional topological superconductors that exhibit Majorana zero modes (MZM) protected by a magnetic group symmetry, a combined antiunitary symmetry composed of a mirror reflection and time-reversal. This new symmetry enhances the noninteracting topological classification of a superconducting vortex from $Z_2$ to $Z$, indicating that multiple MZMs can coexist at the end of one magnetic vortex of unit flux. Specially, we show that a vortex binding two MZMs can be realized on the $(001)$-surface of a topological crystalline insulator SnTe with proximity induced BCS Cooper pairing, or in bulk superconductor In${}_x$Sn${}_{1-x}$Te.

Accepted version to appear in PRL: 4-page text plus 4-page supplementary materials, two figures

References in corpus (10)

• 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
• Classification of topological insulators and superconductors in three spatial dimensions
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Topological Crystalline Insulators
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Topological classification with additional symmetries from Clifford algebras
• Large Chern Number Quantum Anomalous Hall Effect In Thin-film Topological Crystalline Insulators

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