%0 Journal Article
%T Effect of three-particle correlations in low dimensional Hubbard models
%A Ted Hsu
%A Benoit Doucot
%J Physics
%D 1993
%I arXiv
%R 10.1103/PhysRevB.48.2131
%X 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!
%U http://arxiv.org/abs/cond-mat/9302020v1