Spectral Function of the 1D Hubbard Model in theU→+∞Limit

1995/01/19 by Karlo Penc, Frédéric Mila, Hiroyuki Shiba · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat

paper · pdf · doi:10.1103/physrevlett.75.894

published as Phys. Rev. Lett. 75, 894-897 (1995) · 4 pages, RevTeX, 2 figures on request

arxiv created 1995/01/19 · openalex publication_date 1995/07/31 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that the one-particle spectral functions of the one-dimensional Hubbard model diverge at the Fermi energy like |\ensuremathω\ensuremath-\ensuremathε_F|^\ensuremath-3/8 in the U\ensuremath→+\ensuremath∞ limit. The Luttinger liquid behavior |\ensuremathω\ensuremath-\ensuremathε_F|^\ensuremathα, where \ensuremathα\ensuremath→1/8 as U\ensuremath→+\ensuremath∞, should be limited to |\ensuremathω\ensuremath-\ensuremathε_F|\ensuremath∼t²/U (for U large but finite), which shrinks to a single point, \ensuremathω\phantom\rule0ex0ex=\phantom\rule0ex0ex\ensuremathε_F, in that limit. The consequences for the observation of the Luttinger liquid behavior in photoemission and inverse photoemission experiments are discussed.

Citations

• Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems
• An Exactly Soluble Model of a Many-Fermion System
• Exact Solution of a Many-Fermion System and Its Associated Boson Field

Cited by

• EFFECT OF SPIN GAP ON SINGLE-HOLE EXCITATION SPECTRUM IN THE ONE-DIMENSIONAL t–J–J′ MODEL
• Properties of a Luttinger liquid with boundaries at finite temperature and size