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We study the impurity effects on the Caroli-de Gennes-Matricon (CdGM) states,particularly on the level spacings in a vortex core in topological s-wavesuperconductor (SC) by two means, numerically and analytically. The topologicals-wave SC belongs to the same class as a chiral p-wave SC and thus there aretwo inequivalent vortices in terms of any symmetry operation. We take intoaccount this inequivalence and numerically calculate the scattering rates basedon an improved version of Kopnin-Kravtsov (iKK) scheme, which enables us totreat the discrete levels in the presence of white-noise disorder. We alsoconstruct the Andreev equation for the topological s-wave SC and obtain theAndreev bound states analytically. We use a correspondence between the wavefunctions for the Bogoliubov-de Gennes equation and the Andreev equation in theiKK scheme and deduce the formula of scattering rates described by the wavefunction for the Andreev equation. With this formula, we discuss the origin ofimpurity scattering rates for CdGM states of topological s-wave SC and thedependence on the types of vortices related to the inequivalence.

Impurity Effects on Bound States in the Vortex Core of Topological S-wave Superconductor