Double Potts chain and exact results for some two-dimensional models

Details Double Potts chain and exact results for some two-dimensional models Double Potts chain and exact results for some two-dimensional models

2001-11-21

arxiv.org/abs/cond-mat/0111401v1

Physics

Condensed Matter

Statistical Mechanics

13 pages in latex and 2 ps figures. preprint ICTP IC/2000/176; ZhETF 120 (2001) (in press)

Scientific paper

10.1134/1.1427183

A closed-form exact analytical solution for the q-state Potts model on a ladder 2 x oo with arbitrary two-, three-, and four-site interactions in a unit cell is presented. Using the obtained solution it is shown that the finite-size internal energy equation yields an accurate value of the critical temperature for the triangular Potts lattice with three-site interactions in alternate triangular faces. It is argued that the above equation is exact at least for self-dual models on isotropic lattices.

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