Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Columnar dimer and plaquette resonating valence bond states of the
  quantum dimer model   We study the nature of the ground state of the quantum dimer model proposed
by Rokhsar and Kivelson by diagonalizing the Hamiltonian of the model on square
lattices of size $L\times L$, where $L\leq 8$, with periodic boundary
conditions. Finite-size scaling studies of the columnar order parameter and the
low lying excitation spectrum show no evidence of a dimer liquid state in any
finite region of the zero temperature phase diagram. In addition, we find
evidence of a transition from the columnar dimer state to an intermediate state
at a negative value of $V/J$. This state is identified to be the plaquette
resonating valence bond (RVB) state. The energy gap of this state vanishes as a
power law of $L$. It exhibits columnar dimer order, but has disorder {\it
within} the dimer columns. This state persists up to $V/J<1$, and the system
changes to a dimer liquid state only at $V/J=1$.

6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas