Supergroup approach to the Hubbard model
Strongly Correlated Electrons
2011-11-10 v1 High Energy Physics - Theory
Abstract
Based on the revealed hidden supergroup structure, we develop a new approach to the Hubbard model. We reveal a relation of even Hubbard operators to the spinor representation of the generators of the rotation group of four-dimensional spaces. We propose a procedure for constructing a matrix representation of translation generators, yielding a curved space on which dynamic superfields are defined. We construct a new deformed nonlinear superalgebra for the regime of spinless Hubbard model fermions in the case of large on-site repulsion and evaluate the effective functional for spinless fermions.
Cite
@article{arxiv.1102.2522,
title = {Supergroup approach to the Hubbard model},
author = {V. Zharkov and V. Kirchanov},
journal= {arXiv preprint arXiv:1102.2522},
year = {2011}
}
Comments
17 pages, Theoretical and Mathematical Physics, V.166, n.2, p.209-222,2011