Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Temperature Critical Behavior of Mutual Information   We study mutual information for Renyi entropy of arbitrary index n, in
interacting quantum systems at finite-temperature critical points, using
high-temperature expansion, quantum Monte Carlo simulations and scaling theory.
We find that for n>1, the critical behavior is manifest at two temperatures T_c
and n*T_c. For the XXZ model with Ising anisotropy, the coefficient of the
area-law has a t*ln(t) singularity, whereas the subleading correction from
corners has a logarithmic divergence, with a coefficient related to the exact
results of Cardy and Peschel. For T<n*T_c there is a constant term associated
with broken symmetries that jumps at both T_c and n*T_c, which can be
understood in terms of a scaling function analogous to the boundary entropy of
Affleck and Ludwig.

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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: math
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The categories of this paper are: comp-gas
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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: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga