Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sub-gap in the Edge States of 2-D Chiral Superconductor with Rough
  Surface   We discuss the rough surface effects on a two-dimensional chiral $k_x+ik_y$
superconductor. The atomic scale roughness at the surface is considered using
the random $S$ matrix model. The roughness effects on the self-consistent order
parameter, the surface mass current and the surface density of states are
studied using the quasi-classical theory. We find that the surface mass current
is suppressed by the surface roughness. The surface density of states shows a
quite similar behavior to that of superfluid ${}^3$He B phase. When the surface
is specular, the surface Andreev bound states form a band which fills the bulk
energy gap $\Delta_{\rm bulk}$. When the surface becomes diffusive, there
occurs a sharp upper edge of the surface bound states band and there opens a
sub-gap between the edge and the bulk energy gap. We show that this sub-gap is
induced by the repulsion between the surface bound states and the propagating
Bogoliubov quasi-particles through the second order process of roughness.

11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio