Superconducting Gap Structures in Wallpaper Fermion Systems

Abstract

We theoretically investigate the superconducting gap structures in wallpaper fermions, which are surface states of topological nonsymmorphic crystalline insulators, based on a two-dimensional effective model. A symmetry analysis identifies six types of momentum-independent pair potentials. One hosts a point node, two host line nodes, and the remaining three are fully gapped. By classifying the Bogoliubov--de Gennes Hamiltonian in the zero-dimensional symmetry class, we show that the point and line nodes are protected by ${\mathbb{Z}}_2$ topological invariants. In addition, for the twofold-rotation-odd pair potential, nodes appear on the glide-invariant line and are protected by crystalline symmetries, as clarified by the Mackey--Bradley theorem.

17 pages, 8 figures, proceedings of LT30

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Cited by in corpus (1)

• Double-twisted surface spectrum from hybridized Majorana Kramers pairs and wallpaper fermions