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

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 ${\theta }^{\prime }=1.6676(3)$. We thus confirm that the exponent $\theta$ has the exact value $\frac{5}{6}$ as observed by Dhar.

5 pages, 1 figure, IoP macros. Expanded second and final version

References in corpus (2)

• Exactly solved models of polyominoes and polygons
• Series expansions from the corner transfer matrix renormalization group method: the hard squares model

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