Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The N\'{e}el-VBS transition in three-dimensional SU($N$)
  antiferromagnets   We present results for the phase diagram of an SU($N$) generalization of the
Heisenberg antiferromagnet on a bipartite three-dimensional anisotropic cubic
(tetragonal) lattice as a function of $N$ and the lattice anisotropy $\gamma$.
In the "isotropic" $\gamma=1$ cubic limit, we find a transition from N\'{e}el
to valence bond solid (VBS) between N=9 and N=10. We follow the N\'{e}el-VBS
transition to the limiting cases of $\gamma \ll 1 $ (weakly coupled layers) and
$\gamma \gg 1$ (weakly coupled chains). Throughout the phase diagram we find a
direct first-order transition from N\'{e}el at small-$N$ to VBS at large-$N$.
In the three-dimensional models studied here, we find no evidence for either an
intervening spin-liquid "photon" phase or a continuous transition, even close
to the limit $\gamma \ll 1$ where the isolated layers undergo continuous
N\'{e}el-VBS transitions.

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The categories of this paper are: chem-ph
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph