Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic vortex lattices for the Lawrence-Doniach model of layered
  superconductors in a parallel field   We consider the Lawrence-Doniach model for layered superconductors, in which
stacks of parallel superconducting planes are coupled via the Josephson effect.
We assume that the superconductor is placed in an external magnetic field
oriented parallel to the superconducting planes and study periodic lattice
configurations in the limit as the Josephson coupling parameter r tends to
zero. This limit leads to the "transparent state" discussed in the physics
literature, which is observed in very anisotropic high-temperature
superconductors at sufficiently high applied fields and below a critical
temperature. We use a Lyapunov-Schmidt reduction to prove that energy
minimization uniquely determines the geometry of the optimal vortex lattice: a
period-2 (in the layers) array proposed by Bulaevskii & Clem. Finally, we
discuss the apparent conflict with previous results for finite-width samples,
in which the minimizer in the small coupling regime takes the form of "vortex
planes" (introduced by Theodorakis and Kuplevakhsky.)

4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org