10 citations · 16 across the 2 of their papers we have counts for
6 papers
Root of unity symmetries in the 8 and 6 vertex models
Klaus Fabricius, Barry M. McCoy
We review the recently discovered symmetries of the 8 and 6 vertex models which exist at roots of unity and present their relation with representation theory of affine Lie algebras…
New Developments in the Eight Vertex Model
Klaus Fabricius, Barry M. McCoy
We demonstrate that the Q matrix introduced in Baxter's 1972 solution of the eight vertex model has some eigenvectors which are not eigenvectors of the spin reflection operator and…
Evaluation parameters and Bethe roots for the six vertex model at roots of unity
Klaus Fabricius, Barry M. McCoy
We propose an expression for the current form of the lowering operator of the loop algebra symmetry of the six vertex model (XXZ spin chain) at roots of unity. This opera…
Completing Bethe's equations at roots of unity
Klaus Fabricius, Barry M. McCoy
In a previous paper we demonstrated that Bethe's equations are not sufficient to specify the eigenvectors of the XXZ model at roots of unity for states where the Hamiltonian has de…
The sl_2 loop algebra symmetry of the six-vertex model at roots of unity
Tetsuo Deguchi, Klaus Fabricius, Barry M. McCoy
We demonstrate that the six vertex model (XXZ spin chain) with and has an invariance under the loop algebra of which produces a special set of de…
Competition of Ferromagnetic and Antiferromagnetic Order in the Spin-1/2 XXZ Chain at Finite Temperature
K. Fabricius, A. Klümper, B. M. McCoy
An analytical study is presented of the crossover in the gapless attractive XXZ chain from antiferromagnetic to ferromagnetic behaviour at low to high temperature, respectively. In…