Eight-vertex model

Known as: 8 vertex model, 8-vertex model, Eight vertex model

In statistical mechanics, the eight-vertex model is a generalisation of the ice-type (six-vertex) models; it was discussed by Sutherland, and Fan…

Papers overview

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2019

We study the approximation complexity of the partition function of the eight-vertex model on general 4-regular graphs. For the…

2017

The square-lattice eight-vertex model with vertex weights a,b,c,d obeying the relation (a2+ab)(b2+ab)=(c2+ab)(d2+ab) and periodic…

2013

We show that symmetric polynomials previously introduced by the author satisfy a certain differential equation. After a change of…

2009

We study a special anisotropic XYZ-model on a periodic chain of an odd length and conjecture exact expressions for certain…

2003

2002

We consider the duality properties of a general vertex model on a lattice in any spatial dimension. The analysis is based on a…

2000

This work deals on the one hand with how to use the representation theory of a quantum group ( [14]) to investigate a statistical…

1998

Using quasiclassical limit of Baxter's 8 - vertex R - matrix, an elliptic generalization of the Knizhnik-Zamolodchikov equation…

Review

1996

Review

1996

The formulation of integrable models with open boundary conditions and the functional relations of fused transfer matrices are…

1985