Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortex Structures for an SO(5) Model of High-T_C Superconductivity and
  Antiferromagnetism   We study the structure of symmetric vortices in a Ginzburg-Landau model based
on S. C. Zhang's SO(5) theory of high temperature superconductivity and
antiferromagnetism. We consider both a full Ginzburg-Landau theory (with
Ginzburg-Landau scaling parameter kappa) and a high-kappa limiting model. In
all cases we find that the usual superconducting vortices (with normal phase in
the central core region) become unstable (not energy minimizing) when the
chemical potential crosses a threshold level, giving rise to a new vortex
profile with antiferromagnetic ordering in the core region. We show that this
phase transition in the cores is due to a bifurcation from a simple eigenvalue
of the linearized equations. In the limiting large kappa model we prove that
the antiferromagnetic core solutions are always nondegenerate local energy
minimizers and prove an exact multiplicity result for physically relevent
solutions.

23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph