ON RELATION BETWEEN SYMMETRIC VERTEX MODEL AND ISING MODEL ON THE SQUARE LATTICE

1991/07/10 by L. SAMAJ, Ladislav Šamaj, M. KOLESÍK +1 · 1 citation
Physics and Astronomy · #Theoretical and Computational Physics #Quantum many-body systems #Opinion Dynamics and Social Influence

paper · doi:10.1142/s0217984991001313

Abstract

The symmetric version of the two-state vertex model on the square lattice is studied. It is shown that there exists a manifold in the vertex weights parameter space on which the model can be mapped onto the Ising model in a field. The choices of symmetric vertex weights for which the equivalence holds in the whole temperature range are briefly discussed.

Cited by

• The 16-vertex model and its even and odd 8-vertex subcases on the square lattice

Related

• On the equivalence between n-state spin and vertex models on the square lattice
• A possible origin of symmetric/asymmetric vertex models
• A distant descendant of the six-vertex model
• Spin-projection orientations in the plane square-lattice Ising model with periodic boundary conditions
• The ising model in a magnetic field of ½iπ