Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microscopic Derivation of the Ginzburg-Landau Equations for a d-wave
  Superconductor   The Ginzburg-Landau (GL) equations for a d-wave superconductor are derived
within the context of two microscopic lattice models used to describe the
cuprates: the extended Hubbard model and the Antiferromagnetic-van Hove model.
Both models have pairing on nearest-neighbour links, consistent with theories
for d-wave superconductivity mediated by spin fluctuations. Analytical results
obtained for the extended Hubbard model at low electron densities and
weak-coupling are compared to results reported previously for a d-wave
superconductor in the continuum. The variation of the coefficients in the GL
equations with carrier density, temperature, and coupling constants are
calculated numerically for both models. The relative importance of anisotropic
higher-order terms in the GL free energy is investigated, and the implications
for experimental observations of the vortex lattice are considered.

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an