One-particle irreducible density matrix for the spin disordered infinite $U$ Hubbard chain

dc.creatorCheianov, Vadim V.
dc.creatorZvonarev, M. B.
dc.date2003-11-11
dc.date.accessioned2026-07-07T02:54:43Z
dc.date.available2026-07-07T02:54:43Z
dc.descriptionIn this Letter we present a calculation of the one-particle irreducible density matrix $ρ(x)$ for the one-dimensional (1D) Hubbard model in the infinite $U$ limit. We consider the zero temperature spin disordered regime, which is obtained by first taking the limit $U\to \infty$ and then the limit $T\to 0.$ Using the determinant representation for $ρ(x)$ we derive analytical expressions for both large and small $x$ at an arbitrary filling factor $0<\varrho<1/2.$ The large $x$ asymptotics of $ρ(x)$ is found to be remarkably accurate starting from $x\sin(2π\varrho)\sim 1.$ We find that the one-particle momentum distribution function $ρ(k)$ is a smooth function of $k$ peaked at $k=2k_F,$ thus violating the Luttinger theorem.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0311256
dc.identifierhttp://arxiv.org/abs/cond-mat/0311256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22665
dc.subjectStrongly Correlated Electrons
dc.titleOne-particle irreducible density matrix for the spin disordered infinite $U$ Hubbard chain
dc.typetext

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