ON ALGEBRAIC DIAGONALIZATION OF THE XXZ CHAIN

Paul Martin, Hubert Saleur

The purpose of this note is to comment on the diagonalization of the XXZ chain Hamiltonian (and others such as the Potts model), using the abstract Temperley-Lieb algebra relations, following the paper by Dan Levy1 where the idea was first developed.

Rafael I. Nepomechie

Yicheng Tang, Pradip Kattel, Natan Andrei

Mateus Monteiro, I. Roditi, Ligia M. C. S. Rodrigues +1 more

We consider the quantum inverse scattering method with a new R-matrix depending on two parameters q and t. We find that the underlying algebraic structure is the two-parameter deformed algebra SU q,t(2) enlarged by introducing an element belonging to the center. The corresponding Hamiltonian describes the spin-1/2 XXZ model with twisted periodic boundary conditions.

Andreas Klümper

Daniel Braak, Natan Andrei