Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Square vortex lattices for two component superconducting order
  parameters   I investigate the vortex lattice structure of the Ginzburg Landau free energy
for a two component order parameter in the weak-coupling clean-limit when the
field is along the high symmetry axis in a tetragonal crystal. It is shown that
the vortex lattice phase diagram as a function of the Ginzburg Landau free
energy parameters includes phases with a hexagonal, centered rectangular,
rectangular, and square unit cells. It is also shown that the square vortex
lattice has the largest region of stability. The field distribution of the
square vortex lattice near $H_{c2}$ is determined and the application of this
model to Sr$_2$RuO$_4$ is discussed.

2
The categories of this paper are: math
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org