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

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

1995-01-19

arxiv.org/abs/cond-mat/9501085v1

Phys. Rev. Lett. 75, 894-897 (1995)

Physics

Condensed Matter

4 pages, RevTeX, 2 figures on request

Scientific paper

10.1103/PhysRevLett.75.894

We show that the one-particle spectral functions of the one-dimensional Hubbard model diverge at the Fermi energy like $|\omega-\varepsilon_F|^{-3/8}$ in the $U\to +\infty $ limit. The Luttinger liquid behaviour $|\omega-\varepsilon_F|^\alpha$, where $\alpha \to 1/8$ as $U\to +\infty $, should be limited to $|\omega-\varepsilon_F| \sim t^2/U$ (for $U$ large but finite), which shrinks to a single point, $\omega=\varepsilon_F$,in that limit. The consequences for the observation of the Luttinger liquid behaviour in photoemission and inverse photoemission experiments are discussed.

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