Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex-Temperature Singularities in the $d=2$ Ising Model. III.
  Honeycomb Lattice   We study complex-temperature properties of the uniform and staggered
susceptibilities $\chi$ and $\chi^{(a)}$ of the Ising model on the honeycomb
lattice. From an analysis of low-temperature series expansions, we find
evidence that $\chi$ and $\chi^{(a)}$ both have divergent singularities at the
point $z=-1 \equiv z_{\ell}$ (where $z=e^{-2K}$), with exponents
$\gamma_{\ell}'= \gamma_{\ell,a}'=5/2$. The critical amplitudes at this
singularity are calculated. Using exact results, we extract the behaviour of
the magnetisation $M$ and specific heat $C$ at complex-temperature
singularities. We find that, in addition to its zero at the physical critical
point, $M$ diverges at $z=-1$ with exponent $\beta_{\ell}=-1/4$, vanishes
continuously at $z=\pm i$ with exponent $\beta_s=3/8$, and vanishes
discontinuously elsewhere along the boundary of the complex-temperature
ferromagnetic phase. $C$ diverges at $z=-1$ with exponent $\alpha_{\ell}'=2$
and at $v=\pm i/\sqrt{3}$ (where $v = \tanh K$) with exponent $\alpha_e=1$, and
diverges logarithmically at $z=\pm i$. We find that the exponent relation
$\alpha'+2\beta+\gamma'=2$ is violated at $z=-1$; the right-hand side is 4
rather than 2. The connections of these results with complex-temperature
properties of the Ising model on the triangular lattice are discussed.

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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: stat
31
The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an