Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground state angular momentum, spectral asymmetry, and topology in
  chiral superfluids and superconductors   Recently it was discovered that the ground state orbital angular momentum in
two-dimensional chiral superfluids with pairing symmetry $(p_x+ip_y)^\nu$
depends on the winding number $\nu$ in a striking manner. The ground state
value for the $\nu=1$ case is $L_z=\hbar N/2$ as expected by counting the
Cooper pairs, while a dramatic cancellation takes place for $\nu>1$. The origin
of the cancellation is associated with the topological edge states that appear
in a finite geometry and give rise to a spectral asymmetry. Here we study the
reduction of orbital angular momentum for different potential profiles and
pairing strengths, showing that the result $L_z=\hbar N/2$ is robust for
$\nu=1$ under all studied circumstances. We study how angular momentum depends
on the gap size $\Delta/E_F$ and obtain the result $L_z=\frac{\hbar\nu}{2}
N(1-\frac{\mu}{E_F})$ for $\nu=2,3$. Thus, the gap-dependence of $L_z$ for
$\nu<4$ enters at most through the chemical potential while $\nu\geq4$ is
qualitatively different. In addition, we generalize the spectral asymmetry
arguments to \emph{total} angular momentum in the ground state of triplet
superfluids where due to a spin-orbit coupling $L_z$ is not a good quantum
number. We find that the ground state total angular momentum also behaves very
differently depending on total angular momentum of the Cooper pairs.

32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org