Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ternary-Spin Ising Model on an Anisotropically Decorated Square Lattice:
  An Exactly Solvable Case   Magnetic properties of a ternary-spin Ising model on the decorated square
lattice are studied within a generalized decoration-iteration transformation.
Depending on the mutual ratio between exchange interactions and the single-ion
anisotropy, there appear six different phases in the ground state. The magnetic
order of these phases together with the critical behaviour and corresponding
magnetization curves are discussed in detail.

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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int