The electron gas with a strong pairing interaction: Three particle correlations and the Thouless instability

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dc.creatorHimmerich, M.
dc.creatorLetz, M.
dc.date2000-09-18
dc.date.accessioned2026-07-07T12:37:39Z
dc.date.available2026-07-07T12:37:39Z
dc.descriptionWe derive simplified Faddeev type equations for the three particle T-matrix which are valid in the Hubbard model where only electrons with opposite spins interact. Using the approximation of dynamical mean field theory these equations are partially solved numerically for the attractive Hubbard model. It is shown that the three particle T-matrix contains a term vanishing $\sim T^2$ at the Thouless (or BCS) instability where the two-particle T-matrix diverges. Based on the three particle term we further derive the low density - strong coupling extension for the two-particle vertex function. We therefore understand our equations as a step towards a systematic low density expansion from the weak coupling BCS theory towards the stronger coupling limit.
dc.description14 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0009262
dc.identifierhttp://arxiv.org/abs/cond-mat/0009262
dc.identifierPhys.Rev.B64:144519,2001
dc.identifierdoi:10.1103/PhysRevB.64.144519
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218512
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleThe electron gas with a strong pairing interaction: Three particle correlations and the Thouless instability
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