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.Comment: Talk given by G. Feverati at the workshop "RAQIS'07 Recent Advances
in Quantum Integrable Systems", 11-14 Sept. 2007, LAPTH, Annecy-le-Vieux,
Franc
