Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Phase Transition of the Spin-1/2 Heisenberg Model with a Spatially
  Staggered Anisotropy on the Square Lattice   Puzzled by the indication of a new critical theory for the spin-1/2
Heisenberg model with a spatially staggered anisotropy on the square lattice as
suggested in \cite{Wenzel08}, we re-investigate the phase transition of this
model induced by dimerization. We focus on studying the finite-size scaling of
the observables $\rho_{s1} L$ and $\rho_{s2} L$, where $L$ stands for the
spatial box sizes used in the simulations and $\rho_{si}$ with $i \in \{1,2\}$
is the spin-stiffness in $i$-direction. We find by performing finite-size
scaling using the observable $\rho_{s2} L$, which corresponds to the spatial
direction with a fixed antiferromagnetic coupling, one would suffer a much less
severe correction compared to that of using $\rho_{s1} L$. Therefore $\rho_{s2}
L$ is a better quantity than $\rho_{s1} L$ for finite-size scaling analysis
concerning the limitation for the availability of large volumes data in our
study. Remarkably, by employing the method of fixing the aspect-ratio of
spatial winding numbers squared in the simulations, even from $\rho_{s1} L$
which receives the most serious correction among the observables considered in
this study, we arrive at a value for the critical exponent $\nu$ which is
consistent with the expected O(3) value by using only up to $L = 64$ data
points.

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The categories of this paper are: nlin
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn