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Unconventional features in superconductivity are revealed by responses toimpurity scattering. We study non-magnetic impurity effects in athree-dimensional topological superconductor, focusing on an effective model(massive Dirac Hamiltonian with s-wave on-site pairing) of Copper-dopedbismuth-selenium compounds. Using a self-consistent T-matrix approach forimpurity scattering, we examine in-gap states in density of states. We findthat the results are well characterized by a single material variable, whichmeasures relativistic effects in the Dirac Hamiltonian. In non-relativisticregime, an odd-parity superconducting state is fragile against non-magneticimpurities. We show that this behavior is caused by a p-wave character involvedin the topological superconducting state. In contrast, we show that inrelativistic regime the superconductivity is robust against non-magneticimpurities, owing to an s-wave character. To summarize, the system has twoaspects, p- and s-wave features, depending on the weight of relativisticeffects.

Non-magnetic impurity effects in a three-dimensional topological superconductor: From p- to s-wave behaviors