Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evidence of Unconventional Universality Class in a Two-Dimensional
  Dimerized Quantum Heisenberg Model   The two-dimensional $J$-$J^\prime$ dimerized quantum Heisenberg model is
studied on the square lattice by means of (stochastic series expansion) quantum
Monte Carlo simulations as a function of the coupling ratio
\hbox{$\alpha=J^\prime/J$}. The critical point of the order-disorder quantum
phase transition in the $J$-$J^\prime$ model is determined as
\hbox{$\alpha_\mathrm{c}=2.5196(2)$} by finite-size scaling for up to
approximately $10 000$ quantum spins. By comparing six dimerized models we
show, contrary to the current belief, that the critical exponents of the
$J$-$J^\prime$ model are not in agreement with the three-dimensional classical
Heisenberg universality class. This lends support to the notion of nontrivial
critical excitations at the quantum critical point.

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph