Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries

Abstract

Based on a recently developed framework, we conduct classifications of time-reversal symmetric topological superconductors with conventional pairing symmetries. Our real-space approach clarifies the nature of boundary modes in nontrivial phases. The key difference from the calculations for topological crystalline insulators originates from the appearance of vortex zero modes on the interface of several two-dimensional topological superconductors. We find that our classification is complete in the $K$-theory sense for all rod groups, all layer groups, and 159 out of 230 space groups. Our results shed new light on superconductors with conventional pairing as candidates for topological superconductors.

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Cited by in corpus (6)

• Topological Superconductivity from Unconventional Band Degeneracy with Conventional Pairing
• Double Majorana Vortex Flat Bands in the Topological Dirac Superconductor
• Atiyah-Hirzebruch spectral sequence for topological insulators and superconductors: $E_2$ pages for 1651 magnetic space groups
• Frustration-free free fermions and beyond
• Frustration-free free fermions
• Fermi-surface diagnosis for topological superconductivity with $s$-wave-like pairing symmetries