Abstract
The transition temperature obtained from recent Monte Carlo calculations for the Quartet Ising model on the fcc lattice deviated by 17% from the exact transition temperatureT SD c required by selfduality which we have proven afterwards. Here we use Monte Carlo results of the internal energy, which agree well with low- and high temperature series, to determine entropy and free energy and obtain aT c in excellent agreement (±0.1%) with the exact value. The Quartet model on the hcp lattice is shown to be selfdual too; the rapidly converging series for the fcc and the hcp lattice differ only in higher order.
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Liebmann, R. Monte Carlo study of the Quartet Ising model consistent with selfduality. Z. Physik B - Condensed Matter 45, 243–246 (1982). https://doi.org/10.1007/BF01302986
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DOI: https://doi.org/10.1007/BF01302986