Exact solution of a Z(4) gauge Potts model on planar lattices
Abstract
The exact solution of a general Z(4) gauge Potts model with a single and double plaquette representation of the action is found on a subspace of gauge-coupling parameters on the square and triangular lattices. The two Ising-type critical lines of a second-order phase transition for the model on a square lattice are found. For the model on a triangular lattice the two critical surfaces of an Ising-type and two nontrivial lines of a second-order phase transition with different critical behavior than on the critical surfaces are found. It is shown that a two dimensional (2D) general Z(4) gauge Potts model with single and double plaquette representation of the action and a 2D spin-3/2 Ising model belong to the same universality class.
Cite
@article{arxiv.cond-mat/9912151,
title = {Exact solution of a Z(4) gauge Potts model on planar lattices},
author = {N. S. Ananikian and R. G. Ghulghazaryan and N. Sh. Izmailian and R. R. Shcherbakov},
journal= {arXiv preprint arXiv:cond-mat/9912151},
year = {2009}
}
Comments
10 pages, 1 figure