Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projected BCS Theory for the Unification of Antiferromagnetism and
  Strongly Correlated Superconductivity   The intimate connection between antiferromagnetism and superconductivity is
at the core of high-temperature superconductivity. Here, we put forward the
projected BCS theory for the unification of antiferromagnetism at half filling
and strongly correlated superconductivity at moderate doping. Specifically, it
is shown that the projected BCS theory provides excellent trial states for the
exact ground states of the $t$-$J$ model in the square lattice, generating the
unified phase diagram as a continuous function of hole concentration. Precisely
capturing antiferromagnetism at half filling, which is ultimately a consequence
of the strong correlation between Cooper pairs, the projected BCS theory is
able to produce better trial states for strongly correlated superconductivity
at moderate doping than the resonating valence bond state. Finally, we discuss
various ramifications of the projected BCS theory.

20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess