Momentum-distribution critical exponents for the one-dimensional large-U Hubbard model in the thermodynamic limit

Shaojin Qin and Lu Yu
Phys. Rev. B 54, 1447 – Published 15 July 1996
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Abstract

The critical exponents of the momentum distribution near kF, 3kF, and 5kF are studied numerically for the one-dimensional U→∞ Hubbard model, using finite-size systems and extrapolating them to the thermodynamic limit. Results at kF agree with earlier calculations, while at 3kF, exponents less than 1 are obtained for finite-size systems with extrapolation to 1 (regular behavior) in the thermodynamic limit, in contrast to the earlier analytic prediction of 9/8. The distribution is regular at 5kF even for finite systems. The singularity near 3kF is interpreted as due to low-energy excitations near 3kF in finite systems. © 1996 The American Physical Society.

  • Received 15 January 1996

DOI:https://doi.org/10.1103/PhysRevB.54.1447

©1996 American Physical Society

Authors & Affiliations

Shaojin Qin

  • International Center for Theoretical Physics, P. O. Box 586, 34100 Trieste, Italy

Lu Yu

  • International Center for Theoretical Physics, P. O. Box 586, 34100 Trieste, Italy
  • Institute of Theoretical Physics, Academia Sinica, P. O. Box 2735, Beijing 100080, China

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Vol. 54, Iss. 3 — 15 July 1996

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