A family of two-state vertex models on the honeycomb lattice is solved exactly using a generalized weak-graph transformation technique. Two systems are analyzed in detail: the "spin-flip" symmetric model, which is integrable in the whole temperature range, and the symmetric model, solvable at one specific temperature β*. This temperature turns out to be significant from the point of view of edge-edge correlations, namely they vanish at β*.
|Original language||English (US)|
|Number of pages||13|
|Journal||Physica A: Statistical Mechanics and its Applications|
|Publication status||Published - Nov 15 1991|
ASJC Scopus subject areas
- Mathematical Physics
- Statistical and Nonlinear Physics