Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Model of Correlated Fermions with $d_{x^2-y^2}$ Superconductivity   Motivated by the phenomenology of the high-Tc cuprates, a two dimensional
fermionic model with attractive interactions is here discussed. The exact
solution to the two particle problem leads to a bound state in the $d_{x^2 -
y^2}$ subspace. Numerical techniques suggest that the model has $d_{x^2 - y^2}$
superconductivity (SC) in the ground state at low fermionic density. Within a
self-consistent RPA diagrammatic study, the density dependence of the critical
temperature is calculated. We argue that in the context of d-wave SC this model
fulfills the role that the attractive on-site Hubbard model has played for
s-wave SC. We also show that another candidate, the attractive ``t-U-V'' model,
which has d-wave SC at the mean-field level is actually not useful as a
realization of this family of condensates for a variety of reasons.

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The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc