Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground-state phase structure of the spin-$\frac{1}{2}$ anisotropic
  planar pyrochlore   We study the zero-temperature ground-state (GS) properties of the
spin-$\frac{1}{2}$ anisotropic planar pyrochlore, using the coupled cluster
method (CCM) implemented to high orders of approximation. The system comprises
a $J_{1}$--$J_{2}$ model on the checkerboard lattice, with isotropic Heisenberg
interactions of strength $J_{1}$ between all nearest-neighbour pairs of spins
on the square lattice, and of strength $J_{2}$ between half of the
next-nearest-neighbour pairs (in the checkerboard pattern). We calculate
results for the GS energy and average local GS on-site magnetization, using
various antiferromagnetic classical ground states as CCM model states. We also
give results for the susceptibility of one of these states against the
formation of crossed-dimer valence-bond crystalline (CDVBC) ordering. The
complete GS phase diagram is presented for arbitrary values of the frustration
parameter $\kappa \equiv J_{2}/J_{1}$, and when each of the exchange couplings
can take either sign.

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The categories of this paper are: stat
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
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The categories of this paper are: adap-org