Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-12-09
Phys.Rev. E60 (1999) 5106
Physics
Condensed Matter
Statistical Mechanics
10 pages, 1 figure
Scientific paper
10.1103/PhysRevE.60.5106
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.
Ananikian N. S.
Ghulghazaryan R. G.
Izmailian Nickolay Sh.
Shcherbakov Robert
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