Hard-square lattice gas |
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Authors: | R. J. Baxter I. G. Enting S. K. Tsang |
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Affiliation: | (1) Research School of Physical Sciences, The Australian National University, Canberra, Australia |
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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 parameter2–1. 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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Keywords: | Lattice statistics series expansions corner transfer matrices |
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