Abstract
The density series of the non-interacting hard-square lattice gas model are reanalyzed by the ratio, Dlog Pad and differential approximant methods. The problem of poor consistency between series and other results is resolved. Transfer matrix calculations are performed, implementing both finite-size scaling and conformal invariance. Very accurate estimates of the critical exponents y, and yh are obtained in agreement with Ising universality. Furthermore, an improvement of the value of the critical density pc is found. In addition, the universal critical-point ratios of the square of the second and the fourth moment of the magnetization for ferromagnetic Ising models on the square and on the triangular lattice with periodic boundary conditions are reported. PACS numbers: 05.50.+q, 64.60.—i, 64.60.Cn, 64.60.Ak, 64.60.Fr, 75.40.Mg
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