Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solutions in two-dimensional topological superconductors: Hubbard
  interaction induced spontaneous symmetry breaking   We present an exactly solvable model of a spin-triplet $f$-wave topological
superconductor on the honeycomb lattice in the presence of the Hubbard
interaction for arbitrary interaction strength. First we show that the
Kane-Mele model with the corresponding spin-triplet $f$-wave superconducting
pairings becomes a full-gap topological superconductor possessing the
time-reversal symmetry. We then introduce the Hubbard interaction. The exactly
solvable condition is found to be the emergence of perfect flat bands at zero
energy. They generate infinitely many conserved quantities. It is intriguing
that the Hubbard interaction breaks the time-reversal symmetry spontaneously.
As a result, the system turns into a trivial superconductor. We demonstrate
this topological property based on the topological number and by analyzing the
edge state in nanoribbon geometry.

12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex