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Advanced Statistical Mechanics$
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Barry M McCoy

Print publication date: 2009

Print ISBN-13: 9780199556632

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199556632.001.0001

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The eight-vertex and XYZ model

The eight-vertex and XYZ model

Chapter:
(p.480) 14 The eight-vertex and XYZ model
Source:
Advanced Statistical Mechanics
Author(s):

Barry M. McCoy

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199556632.003.0014

This chapter derives the matrix TQ functional equation for the eight-vertex model. The Bethe's equation for the eigenvalues of Q is derived from the matrix TQ equation. A numerical study is made of the eigenvalues of Q, and the TQ equation is used to compute the free energy of the eight-vertex model. Results on the excitations, order parameters and correlation functions of the six- and eight-vertex models and the related XYZ spin chain are presented.

Keywords:   TQ equation, Bethe's equation, eight vertex model, six vertex model

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