J. Phys. I France
Volume 2, Numéro 7, July 1992
Page(s) 1317 - 1323
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. Markos

Institute 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)

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.

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