Abstract
Finite-size scaling is studied for the three-state Potts model on a simple cubic lattice. We show that the specific heat and the magnetic susceptibility scale accurately as the volume. The correlation length exhibits behaviors expected for a genuine first-order transition; the one extracted from the unsubtracted correlation function shows a characteristic finite-size behavior, whereas the physical correlation length that characterizes the first excited state stays at a finite value and is discontinuous at the transition point.
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Fukugita, M., Mino, H., Okawa, M. et al. Finite-size scaling of the three-state Potts model on a simple cubic lattice. J Stat Phys 59, 1397–1429 (1990). https://doi.org/10.1007/BF01334757
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DOI: https://doi.org/10.1007/BF01334757