10 citations · 18 across the 3 of their papers we have counts for
14 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 results for the virial coefficients of D-dimensional hard spheres
N. Clisby, B. M. McCoy
Exact results are given for the fourth virial coefficient of hard spheres in even dimensions up through 12. The fifth and sixth virial coefficients are numerically computed for dim…
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…
Do hard spheres have natural boundaries?
Barry M. McCoy
I use recent advances in the study of the susceptibility of the Ising model to propose a new mechanism for the freezing transition which is observed in three dimensional hard spher…
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…