Generalised integrable Hubbard models

James Drummond (1) , Giovanni Feverati (1) , Luc Frappat (1) , Eric Ragoucy (1)

1 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique

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 "à la Klein and Seitz" is performed. Some explicit examples are worked out. We give a description of the two-particle scattering.

Mots clés: lattice integrable systems; Hubbard model; supersymmetry

Domaines: Physique des Hautes Energies - Théorie [hep-th]

James Drummond, Giovanni Feverati, Luc Frappat, Eric Ragoucy. Generalised integrable Hubbard models. 2007. ⟨hal-00196176⟩