DOI: 10.1051/jp1:1992212
J. Phys. I France 2 (1992) 1317-1323
Solvable weak-graph duals of partially frozen vertex models
M. Kolesík, L. Samaj and P. MarkosInstitute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 842 28 Bratislava, Czechoslovakia
(Received 6 December 1991, revised 16 March 1992, accepted 27 March 1992)
Abstract
A family of
q-state vertex models on a square lattice is solved exactly using the generalized weak-graph transformation. Concrete physical
symmetries of vertex weights turn out to be closely related to abelian groups. The possibility of occurrence of the first-order
phase transition is discussed.
© Les Editions de Physique 1992