Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ising Like Order by Disorder In The Pyrochlore Antiferromagnet with
  Dzyaloshinskii-Moriya Interactions   It is shown that the mechanism of order out of disorder is at work in the
antisymmetric pyrochlore antiferromagnet. Quantum as well as thermal
fluctuations break the continuous degeneracy of the classical ground state
manifold and reduce its symmetry to $\mathbb{Z}_3 \times \mathbb{Z}_2$. The
role of anisotropic symmetric exchange is also investigated and we conclude
that this discrete like ordering is robust with respect to these second order
like interactions. The antisymmetric pyrochlore antiferromagnet is therefore
expected to order at low temperatures, whatever the symmetry type of its
interactions, in both the classical and semi classical limits.

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The categories of this paper are: math
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics