6 research outputs found
Integrable XYZ Model with Staggered Anisotropy Parameter
We apply to the XYZ model the technique of construction of integrable models
with staggered parameters, presented recently for the XXZ case. The solution of
modified Yang-Baxter equations is found and the corresponding integrable
zig-zag ladder Hamiltonian is calculated. The result is coinciding with the XXZ
case in the appropriate limit.Comment: 8 pages ; epic packag
Universal R operator with deformed conformal symmetry
We study the general solution of the Yang-Baxter equation with deformed
symmetry. The universal R operator acting on tensor products of
arbitrary representations is obtained in spectral decomposition and in integral
forms. The results for eigenvalues, eigenfunctions and integral kernel appear
as deformations of the ones in the rational case. They provide a basis for the
construction of integrable quantum systems generalizing the XXZ spin models to
the case of arbitrary not necessarily finite-dimensional representations on the
sites.Comment: 18 pages LaTex, revised, to be publ. in Nucl. Phy
Fermionisation of the Spin-S Uimin-Lai-Sutherland Model: Generalisation of Supersymmetric t-J Model to Spin-S
The spin-1 Uimin-Lai-Sutherland (ULS) isotropic chain model is expressed in
terms of fermions and the equivalence of the fermionic representation to the
supersymmetric t-J model is established directly at the level of
Hamiltonians.The spin-S ULS model is fermionized and the Hamiltonian of the
corresponding generalisation of the t-J model is written down.Comment: 16 page