Low-Temperature Series for the Square Lattice Potts Model by the Improved Finite-Lattice Method

Abstract

The low-temperature series are calculated for the free energy, magnetization and susceptibility in the Q-state Potts model on the square lattice, using the improved algorithm of the finite lattice method. The series are obtained to the order of $z^{41}$ for each of Q=5-50, and the result of their Padé type analysis is compared with those of the large-Q expansion and the Monte Carlo simulations.

28 pages, LaTeX, 4 eps figures, postscript file also available at http://www2.yukawa.kyoto-u.ac.jp/~arisue/tables.html, to appear in Journal of Physics A

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• Large-q expansion of the energy and magnetization cumulants for the two-dimensional q-state Potts model
• Large-$q$ expansion of the two-dimensional $q$-state Potts model by the finite lattice method