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

H. Arisue; K. Tabata

doi:10.1088/0305-4470/30/10/011

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

Condensed Matter 2009-10-30 v1 High Energy Physics - Lattice

Authors: H. Arisue , K. Tabata

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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 Pad\'e type analysis is compared with those of the large-Q expansion and the Monte Carlo simulations.

Keywords

Potts model low-temperature series finite-lattice method square lattice Pade approximants Monte Carlo simulation

Cite

@article{arxiv.cond-mat/9704148,
  title  = {Low-Temperature Series for the Square Lattice Potts Model by the Improved Finite-Lattice Method},
  author = {H. Arisue and K. Tabata},
  journal= {arXiv preprint arXiv:cond-mat/9704148},
  year   = {2009}
}

Comments

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

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

Abstract

Keywords

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