Symmetry relations in the sixteen-vertex model

A. Gaaff and J. Hijmans

Physica A: Statistical Mechanics and its Applications, 1975, vol. 80, issue 2, 149-171

Abstract: We explore the consequences of the existence of a group of linear symmetry transformations for the sixteen-vertex model. An arbitrary sixteen-vertex model is shown tobe equivalent to a standard model, described in terms of ten parameters having an invariant significance. The general eight-vertex model is obtained when four of the invariant parameters vanish. Two further subciasses of the sixteen-vertex model are found to be equivalent to the eight-vertex model. The invariant conditions leading to the solved cases (i.e the general six-vertex, the free-fermion and the symmetric eight-vertex models) are given.

Date: 1975
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:80:y:1975:i:2:p:149-171

DOI: 10.1016/0378-4371(75)90164-8

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