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Hard-square lattice gas

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Abstract

We have studied the hard-square lattice gas, using corner transfer matrices. In particular, we have obtained the first 24 terms of the high-density series for the order parameterρ 2−ρ 1. From these we estimate the critical activity to be 3.7962±0.0001. This is in excellent agreement with the earlier work of Gaunt and Fisher. It conflicts with the value 4.0 given by Müller-Hartmann and Zittartz's formula for the critical point of the antiferromagnetic Ising model in a field, so we conclude that this formula, while a good approximation, is not exact.

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Authors and Affiliations

  1. Research School of Physical Sciences, The Australian National University, Canberra, Australia

    R. J. Baxter, I. G. Enting & S. K. Tsang

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  1. R. J. Baxter
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  2. I. G. Enting
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  3. S. K. Tsang
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Baxter, R.J., Enting, I.G. & Tsang, S.K. Hard-square lattice gas. J Stat Phys 22, 465–489 (1980). https://doi.org/10.1007/BF01012867

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