Abstract
A simple phenomenological theory of the hard-square lattice gas is obtained by analyzing a low-order corner transfer matrix variational approximation. The free energy is of Landau type and expressions are obtained for the order parameter and densities. In this approximation, the model exhibits a critical point atz c =4(3 + 2√3)/9 with critical exponents given by the classical values: α=0disc,β=1/2, γ=1, δ=3.
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Pearce, P.A., Seaton, K.A. A classical theory of hard squares. J Stat Phys 53, 1061–1072 (1988). https://doi.org/10.1007/BF01023857
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DOI: https://doi.org/10.1007/BF01023857