Anisotropic Magnetic Responses of Topological Crystalline Superconductors

Abstract

Majorana Kramers pairs emerged on surfaces of time-reversal-invariant topological crystalline superconductors show the Ising anisotropy to an applied magnetic field. We clarify that crystalline symmetry uniquely determines the direction of the Majorana Ising spin for given irreduciblerepresentationsofpairpotential,derivingconstraintstotopologicalinvariants. In addition, necessary conditions for nontrivial topological invariants protected by the n-fold rotational symmetry are shown.

Keywords

• topologicalsuperconductors
• topologicalcrystallinesuperconductors
• MajoranaIsingspin