ZhETF, Vol. 120,
No. 5,
p. 1282 (November 2001)
(English translation - JETP,
Vol. 93, No. 5,
p. 1113,
November 2001
available online at www.springer.com
)
DOUBLE POTTS CHAIN AND EXACT RESULTS FOR SOME TWO-DIMENSIONAL SPIN MODELS
Yurishchev M.A.
Received: April 12, 2001
PACS: 05.50.+q, 05.70.Jk, 75.10.Hk
An exact analytical solution for the q-state Potts model on a  ladder with arbitrary two-, three-, and four-site interactions in a unit cell is presented in a closed form. This solution is used to show that the finite-size internal energy equation [6] 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 strips.
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