Lieb-Wu Solution, Gutzwiller-Wave-Function, and Gutzwiller-Ansatz Approximation, with Adjustable Single-Particle Wave Function for the Hubbard Chain

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dc.creatorKurzyk, Jan
dc.creatorSpałek, Jozef
dc.creatorWójcik, Włodzimierz
dc.date2007-06-09
dc.date.accessioned2026-07-07T08:11:48Z
dc.date.available2026-07-07T08:11:48Z
dc.descriptionThe optimized single-particle wave functions contained in the parameters of the Hubbard model (t and U) were determined for an infinite atomic chain. In effect, the electronic properties of the chain as a function of interatomic distance R were obtained and compared for the Lieb - Wu exact solution (LW), the Gutzwiller-Wave-Function approximation (GWF), and the Gutzwiller-ansatz case (GA). The ground state energy and other characteristics for the infinite chain were also compared with those obtained earlier for a nanoscopic chain within the Exact Diagonalization combined with an Ab Initio adjustment of the single-particle wave functions in the correlated state (EDABI method). For the sake of completeness, we briefly characterize also each of the solutions. Our approach completes the Lieb-Wu solution, as it provides the system electronic properties evolution as a function of physically controllable parameter - the interatomic distance.
dc.description17 pages, 8 figures, 2 tables
dc.identifierhttps://arxiv.org/abs/0706.1266
dc.identifierhttp://arxiv.org/abs/0706.1266
dc.identifierActa Physica Polonica A 111, 603 (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132241
dc.subjectStrongly Correlated Electrons
dc.titleLieb-Wu Solution, Gutzwiller-Wave-Function, and Gutzwiller-Ansatz Approximation, with Adjustable Single-Particle Wave Function for the Hubbard Chain
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