Generalised integrable Hubbard models
Abstract
We construct the XX and Hubbard-like models based on unitary superalgebras gl(N|M) generalizing Shastry's and Maassarani's approach. We introduce the R-matrix of the gl(N|M) XX-type model; the one of the Hubbard-like model is defined by "coupling" two independent XX models. In both cases, we show that the R-matrices satisfy the Yang-Baxter equation. We derive the corresponding local Hamiltonian in the transfer matrix formalism and we determine its symmetries. A perturbative calculation "\`a la Klein and Seitz" is performed. Some explicit examples are worked out. We give a description of the two-particle scattering.
Keywords
Cite
@article{arxiv.0712.1940,
title = {Generalised integrable Hubbard models},
author = {James Drummond and Giovanni Feverati and Luc Frappat and Eric Ragoucy},
journal= {arXiv preprint arXiv:0712.1940},
year = {2007}
}
Comments
Talk given by G. Feverati at the workshop "RAQIS'07 Recent Advances in Quantum Integrable Systems", 11-14 Sept. 2007, LAPTH, Annecy-le-Vieux, France