Effect of three-particle correlations in low dimensional Hubbard models
Abstract
A simple approximation which captures some non-perturbative aspects of the one electron Green function of strongly interacting Fermion systems is developed. It provides a way to go one step beyond the usual dilute limit since particle-particle as well as particle-hole scattering are treated on the same footing. Intermediate states are constrained to contain only one particle-hole excitation besides the incoming particle. The Faddeev equations resulting from an exact treatment of this three-body problem are investigated. In one dimension the method is able to show spin and charge decoupling, but does not reproduce the exact nature of power-law singularities. Hey dudes, check out the analytical solution in section III!
Cite
@article{arxiv.cond-mat/9302020,
title = {Effect of three-particle correlations in low dimensional Hubbard models},
author = {Ted Hsu and Benoit Doucot},
journal= {arXiv preprint arXiv:cond-mat/9302020},
year = {2016}
}
Comments
21 pages plus six figures (appended as postscript files) in RevTeX v.2