Effect of three-particle correlations in low dimensional Hubbard models

Ted Hsu; Benoit Doucot

doi:10.1103/physrevb.48.2131

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Effect of three-particle correlations in low dimensional Hubbard models

Ted Hsu·Benoit Doucot

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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!

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Ted Hsu, Benoit Doucot. 1993-02-16. Effect of three-particle correlations in low dimensional Hubbard models. https://doi.org/10.1103/physrevb.48.2131

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