Variational method and duality in the 2D square Potts model

Details Variational method and duality in the 2D square Potts model Variational method and duality in the 2D square Potts model

1997-05-07

arxiv.org/abs/cond-mat/9705062v1

J. Phys. A: Math Gen. 30 (1997) 7677-7693

Physics

Condensed Matter

Statistical Mechanics

20 pages, 5 EPS figures

Scientific paper

10.1088/0305-4470/30/22/008

The ferromagnetic q-state Potts model on a square lattice is analyzed, for q>4, through an elaborate version of the operatorial variational method. In the variational approach proposed in the paper, the duality relations are exactly satisfied, involving at a more fundamental level, a duality relationship between variational parameters. Besides some exact predictions, the approach is very effective in the numerical estimates over the whole range of temperature and can be systematically improved.

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