Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Impurity Effects on Bound States in the Vortex Core of Topological
  S-wave Superconductor   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-wave
superconductor (SC) by two means, numerically and analytically. The topological
s-wave SC belongs to the same class as a chiral p-wave SC and thus there are
two inequivalent vortices in terms of any symmetry operation. We take into
account this inequivalence and numerically calculate the scattering rates based
on an improved version of Kopnin-Kravtsov (iKK) scheme, which enables us to
treat the discrete levels in the presence of white-noise disorder. We also
construct the Andreev equation for the topological s-wave SC and obtain the
Andreev bound states analytically. We use a correspondence between the wave
functions for the Bogoliubov-de Gennes equation and the Andreev equation in the
iKK scheme and deduce the formula of scattering rates described by the wave
function for the Andreev equation. With this formula, we discuss the origin of
impurity scattering rates for CdGM states of topological s-wave SC and the
dependence on the types of vortices related to the inequivalence.

14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph