Spectral function of the 1D Hubbard model in the $U\to +\infty $ limit

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dc.creatorPenc, Karlo
dc.creatorMila, Frédéric
dc.creatorShiba, Hiroyuki
dc.date1995-01-19
dc.date.accessioned2026-07-07T12:47:41Z
dc.date.available2026-07-07T12:47:41Z
dc.descriptionWe show that the one-particle spectral functions of the one-dimensional Hubbard model diverge at the Fermi energy like $|ω-\varepsilon_F|^{-3/8}$ in the $U\to +\infty $ limit. The Luttinger liquid behaviour $|ω-\varepsilon_F|^α$, where $α\to 1/8$ as $U\to +\infty $, should be limited to $|ω-\varepsilon_F| \sim t^2/U$ (for $U$ large but finite), which shrinks to a single point, $ω=\varepsilon_F$,in that limit. The consequences for the observation of the Luttinger liquid behaviour in photoemission and inverse photoemission experiments are discussed.
dc.description4 pages, RevTeX, 2 figures on request
dc.identifierhttps://arxiv.org/abs/cond-mat/9501085
dc.identifierhttp://arxiv.org/abs/cond-mat/9501085
dc.identifierPhys. Rev. Lett. 75, 894-897 (1995)
dc.identifierdoi:10.1103/PhysRevLett.75.894
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221802
dc.subjectCondensed Matter
dc.titleSpectral function of the 1D Hubbard model in the $U\to +\infty $ limit
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