Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral $p-$wave superconductivity in Pb$_{1-x}$Sn$_{x}$Te: signatures
  from bound-state spectra and wavefunctions   Surface superconductivity has recently been observed on the (001) surface of
the topological crystalline insulator Pb$_{1-x}$Sn$_{x}$Te using point-contact
spectroscopy, and theoretically proposed to be of the chiral $p-$wave type. In
this paper, we closely examine the conditions for realizing a robust chiral
$p-$wave order in this system, rather than conventional $s$-wave
superconductivity. Further, within the $p$-wave superconducting phase, we
identify parameter regimes where impurity bound (Shiba) states depend crucially
on the existence of the chiral $p-$wave order, and distinguish them from other
regimes where the chiral $p-$wave order does exist but the impurity-induced
subgap bound states cannot be used as evidence for it. Such a distinction can
provide an easily realizable experimental test for chiral $p-$wave order in
this system. Notably, we have obtained exact analytical expressions for the
bound state wavefunctions in point defects, in the chiral $p-$wave
superconducting state, and find that instead of the usual $exponential$ decay
profile that characterizes bound states, these states decay as a $power-law$ at
large distances from the defect. As a possible application of our findings, we
also show that the zero-energy Shiba states in point defects possess an
internal SU(2) rotational symmetry which enables them to be useful as quantum
qubits.

25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics