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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2016

This paper is devoted to the 8-vertex model and its edge correlation function. In some particular (integrable) cases, we find a…

2013

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

2008

We discuss a 4-vertex model on an ensemble of 3-valent (Φ) planar random graphs, which has the effect of coupling the vertex…

2006

The algebraic Bethe ansatz is one of the main approaches to solving integrable models in statistical mechanics. This thesis is a…

2006

Form factors in the eight-vertex model are considered on the basis of the bosonization scheme for the eight-vertex SOS model and…

2005

This thesis consists of an introduction and four chapters, with each chapter covering a different topic. In the introduction, we…

2002

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

2001

The known equivalence of the honeycomb eight-vertex model with an Ising model in a non-zero magnetic field is derived via 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…

1994

The Kyoto group (Jimbo, Miwa, Nakayashiki et al .) showed that the partition function and correlation functions of the eight…