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

M. Kolesík; L. Šamaj

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

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

M. Kolesík, L. Šamaj

Research output: Contribution to journal › Article › peer-review

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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^*.

Original language	English (US)
Pages (from-to)	145-157
Number of pages	13
Journal	Physica A: Statistical Mechanics and its Applications
Volume	179
Issue number	1
DOIs	https://doi.org/10.1016/0378-4371(91)90219-3
State	Published - Nov 15 1991
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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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*.",

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AU - Šamaj, L.

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AB - 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*.

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

Abstract

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