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Density-matrix renormalization-group calculation of correlation functions in the one-dimensional Hubbard model

Shaojin Qin, Shoudan Liang, Zhaobin Su, and Lu Yu
Phys. Rev. B 52, R5475(R) – Published 15 August 1995
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Abstract

We have studied correlation functions of the one-dimensional Hubbard model using the density-matrix numerical renormalization-group approach. The singularity exponents of the momentum distribution at k=kF and 3kF, as well as the power-law singularity of the spin-correlation function, are computed for large U (U/t=103). The momentum-distribution exponent at k=kF and the spin-correlation exponent are in agreement with the analytic results, while the calculated exponent for momentum distribution at k=3kF is about 3/4, which disagrees with the analytically predicted value 9/8. We also discuss several techniques for an accurate calculation of the correlation functions.

  • Received 22 May 1995

DOI:https://doi.org/10.1103/PhysRevB.52.R5475

©1995 American Physical Society

Authors & Affiliations

Shaojin Qin

  • Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080, China

Shoudan Liang

  • Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802

Zhaobin Su

  • Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080, China

Lu Yu

  • International Centre 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. 52, Iss. 8 — 15 August 1995

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