Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interplay between superconductivity and chiral symmetry breaking in a
  (2+1)-dimensional model with compactified spatial coordinate   In this paper a (2+1)-dimensional model with four-fermion interactions is
investigated in the case when one spatial coordinate is compactified and the
space topology takes the form of an infinite cylinder, $R^1\otimes S^1$. It is
supposed that the system is embedded into real three-dimensional space and that
a magnetic flux $\Phi$ crosses the transverse section of the cylinder. The
model includes four-fermion interactions both in the fermion-antifermion (or
chiral) and fermion-fermion (or superconducting) channels. We then study phase
transitions in dependence on the chemical potential $\mu$ and the flux $\Phi$
in the leading order of the large-$N$ expansion technique, where $N$ is the
number of fermion fields. It is demonstrated that for arbitrary relations
between coupling constants in the chiral and superconducting channels,
superconductivity appears in the system at rather high values of $\mu$ (the
length $L$ of the circumference $S^1$ is fixed). Moreover, it is shown that at
sufficiently small values of $\mu$ the growth of the magnetic flux $\Phi$ leads
to a periodical reentrance of the chiral symmetry breaking or superconducting
phase, depending on the values of $\mu$ and coupling constants.

9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph