Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of frustration on a d=3 diluted antiferromagnet:
  $Fe_{x}Zn_{1-x}F_{2}$   The influence of a frustrated bond on the magnetic properties of a d=3
uniaxial (Ising) b.c.c. diluted antiferromagnet, with emphasis in the compound
$Fe_{x}Zn_{1-x}F_{2}$, is investigated by a local mean-field numerical
simulation. In particular we find that the initial drop of the saturation
staggered magnetization ($M_{S}$) with concentration follows a percolation-like
phenomenon characterized by an exponent $\beta_{p}$. For the frustrated
samples, however, this regime is followed by a second one identified by a
``long tail" effect such that $M_{S}$ is zero only at the percolation
threshold. Our numerical data also confirms a spin-glass phase near this
threshold.

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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: nlin