Systematic Mapping of the Hubbard Model to the Generalized t-J Model
Strongly Correlated Electrons
2007-05-23 v2
Abstract
The generalized t-J model conserving the number of double occupancies is constructed from the Hubbard model at and in the vicinity of half-filling at strong coupling. The construction is realized by a self-similar continuous unitary transformation. The flow equation is closed by a truncation scheme based on the spatial range of processes. We analyze the conditions under which the t-J model can be set up and we find that it can only be defined for sufficiently large interaction. There, the parameters of the effective model are determined.
Keywords
Cite
@article{arxiv.cond-mat/0401028,
title = {Systematic Mapping of the Hubbard Model to the Generalized t-J Model},
author = {Alexander Reischl and Erwin Müller-Hartmann and Götz S. Uhrig},
journal= {arXiv preprint arXiv:cond-mat/0401028},
year = {2007}
}
Comments
16 pages, 13 figures included. v2: Order of sections changed. Calculation and discussion of apparent gap in Section IV.A corrected