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arXiv · 1208.1060

Comment on `Series expansions from the corner transfer matrix renormalization group method: the hard-squares model'

Iwan Jensen
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Abstract

Earlier this year Chan extended the low-density series for the hard-squares partition function $\kappa(z)$ to 92 terms. Here we analyse this extended series focusing on the behaviour at the dominant singularity $z_d$ which lies on on the negative fugacity axis. We find that the series has a confluent singularity of order 2 at $z_d$ with exponents $\theta=0.83333(2)$ and $\theta'= 1.6676(3)$. We thus confirm that the exponent $\theta$ has the exact value $\frac56$ as observed by Dhar.

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Iwan Jensen. 2012-08-05. Comment on `Series expansions from the corner transfer matrix renormalization group method: the hard-squares model'. https://doi.org/10.1088/1751-8113/45/50/508001

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