Low Temperature Expansions for Potts Models

Abstract

On simple cubic lattices, we compute low temperature series expansions for the energy, magnetization and susceptibility of the three-state Potts model in D=2 and D=3 to 45 and 39 excited bonds respectively, and the eight-state Potts model in D=2 to 25 excited bonds. We use a recursive procedure which enumerates states explicitly. We analyze the series using Dlog Pade analysis and inhomogeneous differential approximants.

(17 pages + 8 figures)

References in corpus (1)

• Low temperature expansion for the 3-d Ising Model

Cited by in corpus (16)

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• The Method of Recursive Counting: Can One Go Further?
• Large-$q$ expansion of the two-dimensional $q$-state Potts model by the finite lattice method