Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase diagram and two-particle structure of the $Z_3$-chiral Potts model   We calculate the low-lying part of the spectrum of the $Z_3$-symmetrical
chiral Potts quantum chain in its self-dual and integrable versions, using
numerical diagonalisation of the hamiltonian for $N \leq 12$ sites and
extrapolation $N \ra \infty$. From the sequences of levels crossing we show
that the massive phases have oscillatory correlation functions. We calculate
the wave vector scaling exponent. In the high-temperature massive phase the
pattern of the low-lying levels can be explained assuming the existence of two
particles, with $Z_3$-charge $Q\!=\!1$ and $Q\!=\!2$, and their scattering
states. In the superintegrable case the $Q\!=\!2$-particle has twice the mass
of the $Q\!=\!1$-particle. Exponential convergence in $N$ is observed for the
single particle gaps, while power convergence is seen for the scattering
levels. In the high temperature limit of the self-dual model the parity
violation in the particle dispersion relation is equivalent to the presence of
a macroscopic momentum $P_m = \pm \vph/3$, where $\vph$ is the chiral angle.

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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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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: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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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: comp-gas