Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological superconductivity and anti-Shiba states in disordered chains
  of magnetic adatoms   Regular arrays of magnetic atoms on a superconductor provide a promising
platform for topological superconductivity. In this work we study effects of
disorder in these systems, focusing on vacancies realized by missing magnetic
atoms. We develop approaches that allow treatment of ferromagnetic dense chains
as well as long-range hopping ferromagnetic and helical Shiba chains at
arbitrary subgap energies. Vacancies in magnetic chains play an analogous role
to magnetic impurities in a clean $s$-wave superconductor. A single vacancy in
a topological chain gives rise to a low-lying "anti-Shiba" state below the band
edge of a regular magnetic chain. Proliferation of the anti-Shiba band formed
by a finite density of hybridized vacancy states leads to deterioration of the
topological phase, which exhibits unusual fragility in a particular parameter
region in dilute chains. We also consider local fluctuation in the Shiba
coupling and discuss how vacancy states could contribute to experimental
verification of topological superconductivity.

37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph