Theory of low-energy behaviors in topological s-wave pairing superconductors

Ota, Yukihiro; Nagai, Yuki   ; Machida, Masahiko  

Topological superconductors are notable materials, owing to the mathematical interest as topological matter and the application potential of quantum engineering. To clarify their characters relying on gap-function types, we build up a low-energy effective theory, focusing on a model of superconductor CuBiSe. The non-magnetic impurity effects in our previous numerical study indicates that the system has both p-wave and s-wave aspects. A perturbation study is insightful for explaining this peculiar behavior. Since the normal electrons are dominated by the Dirac-type dispersion relation, we assign a low-energy case as a large-Dirac-mass one. When the system has an odd-parity fully-gapped pair potential, our approach indicates that the effective gap function in the low-energy domain has not only a chiral p-wave-like component, but also an s-wave-like one. This peculiar mixture of p-wave and s-wave leads to intriguing responses in the present model.