corner
corner

Phys. Rev. Lett. 75, 894–897 (1995)

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

Download: PDF (203 kB) Buy this article Export: BibTeX or EndNote (RIS)

Karlo Penc1, Frédéric Mila2, and Hiroyuki Shiba1
1Tokyo Institute of Technology, Department of Physics, Oh-okayama, Meguro-ku, Tokyo 152, Japan
2Laboratoire de Physique Quantique, Université Paul Sabatier, 31062 Toulouse, France

Received 18 January 1995; published in the issue dated 31 July 1995

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

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.894
DOI:
10.1103/PhysRevLett.75.894
PACS:
71.27.+a, 71.20.Hk, 78.20.Bh, 79.60.Fr