Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Suppression of Dimer Correlations in the Two-Dimensional $J_1$-$J_2$
  Heisenberg Model: an Exact Diagonalization Study   We present an exact diagonalization study of the ground state of the
spin-half $J_1{-}J_2$ model. Dimer correlation functions and the susceptibility
associated to the breaking of the translational invariance are calculated for
the $4\times 4$ and the $6\times 6$ clusters. These results -- especially when
compared to the one dimensional case, where the occurrence of a dimerized phase
for large enough frustration is well established -- suggest either a
homogeneous spin liquid or, possibly, a dimerized state with a rather small
order parameter.

5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math