Anisotropic magnetic responses of topological crystalline superconductors

Y Xiong, A Yamakage, S Kobayashi, M Sato, Y Tanaka - Crystals, 2017 - mdpi.com
Crystals, 2017mdpi.com
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 irreducible representations of pair potential, deriving constraints to topological
invariants. In addition, necessary conditions for nontrivial topological invariants protected by
the n-fold rotational symmetry are shown.
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 irreducible representations of pair potential, deriving constraints to topological invariants. In addition, necessary conditions for nontrivial topological invariants protected by the n-fold rotational symmetry are shown.
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