Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Binder Parameter of a Heisenberg Spin-Glass Model in Four Dimensions   We studied the phase transition of the $\pm J$ Heisenberg model with and
without a random anisotropy on four dimensional lattice $L\times L\times
L\times (L+1)$ $(L\leq 9)$. We showed that the Binder parameters $g(L,T)$'s for
different sizes do not cross even when the anisotropy is present. On the
contrary, when a strong anisotropy exists, $g(L,T)$ exhibits a steep negative
dip near the spin-glass phase transition temperature $T_{\rm SG}$ similarly to
the $p-$state infinite-range Potts glass model with $p \geq 3$, in which the
one-step replica-symmetry-breaking (RSB) occurs. We speculated that a one-step
RSB-like state occurs below $T_{\rm SG}$, which breaks the usual crossing
behavior of $g(L,T)$.

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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph