Generalised integrable Hubbard models

Details Generalised integrable Hubbard models Generalised integrable Hubbard models

2007-12-12

arxiv.org/abs/0712.1940v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk given by G. Feverati at the workshop "RAQIS'07 Recent Advances in Quantum Integrable Systems", 11-14 Sept. 2007, LAPTH, A

Scientific paper

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.

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