On correlation functions of two-state vertex models on the honeycomb lattice

M. Kolesík and L. S̆amaj

Physica A: Statistical Mechanics and its Applications, 1991, vol. 179, issue 1, 145-157

Abstract: 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∗.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:179:y:1991:i:1:p:145-157

DOI: 10.1016/0378-4371(91)90219-3

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