Super-Hubbard models and applications
High Energy Physics - Theory
2010-10-27 v2 Strongly Correlated Electrons
Exactly Solvable and Integrable Systems
Abstract
We construct XX- and Hubbard- like models based on unitary superalgebras gl(N|M) generalising Shastry's and Maassarani's approach of the algebraic case. We introduce the R-matrix of the gl(N|M) XX model and that of the Hubbard model 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 the symmetry of the Hamiltonian. Explicit examples are worked out. In the cases of the gl(1|2) and gl(2|2) Hubbard models, a perturbative calculation at two loops a la Klein and Seitz is performed.
Keywords
Cite
@article{arxiv.hep-th/0703078,
title = {Super-Hubbard models and applications},
author = {J. M. Drummond and G. Feverati and L. Frappat and E. Ragoucy},
journal= {arXiv preprint arXiv:hep-th/0703078},
year = {2010}
}
Comments
26 pages