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The Eight Vertex Model. New results

K. Fabricius, Barry M. McCoy

Whereas the tools to determine the eigenvalues of the eight-vertex transfer matrix T are well known there has been until recently incomplete knowledge about the eigenvectors of T. We describe the construction of eigenvectors of T corresponding to degenerate eigenvalues and discuss the related hidden elliptic symmetry.

Talk given atJan 1, 20070 citations

Symmetry Relations for the Six-Vertex Model

G I Watson

Journal of Statistical PhysicsMar 1, 19998 citations

Symmetries and statistical behavior in fermion systems

J.B. French, Jerry Paul Draayer

Springer eBooksApr 6, 20088 citations

The Eight Vertex Model.New results

K. Fabricius, Barry M. McCoy

Whereas the tools to determine the eigenvalues of the eight-vertex transfer matrix T are well known there has been until recently incomplete knowledge about the eigenvectors of T. We describe the construction of eigenvectors of T corresponding to degenerate eigenvalues and discuss the related hidden elliptic symmetry.

arXiv:cond-mat/0612699Dec 29, 20060 citations

An Elliptic Current Operator for the Eight Vertex Model

K. Fabricius

Whereas the tools to determine the eigenvalues of the eight-vertex transfer matrix T are well known there has been until recently incomplete knowledge about the eigenvectors of T. We describe the construction of eigenvectors of T corresponding to degenerate eigenvalues and discuss the related hidden elliptic symmetry.

Aug 8, 20075 citations

Symmetry relations in the sixteen-vertex model

Aris Gaaff, J. Hijmans

Physica A Statistical Mechanics and its ApplicationsJan 1, 197551 citations

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