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

Journal Article · Tue Aug 15 00:00:00 EDT 1995 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.52.R5475· OSTI ID:90531

Qin, S ^[1]; Liang, S ^[2]; Su, Z ^[1]; Yu, L ^[3]

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1. Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080 (China)
2. Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802 (United States)
3. International Centre for Theoretical Physics, P.O. Box 586, 34100 Trieste (Italy)

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 {ital k}={ital k}{sub {ital F}} and 3{ital k}{sub {ital F}}, as well as the power-law singularity of the spin-correlation function, are computed for large {ital U} ({ital U}/{ital t}=10{sup 3}). The momentum-distribution exponent at {ital k}={ital k}{sub {ital F}} and the spin-correlation exponent are in agreement with the analytic results, while the calculated exponent for momentum distribution at {ital k}=3{ital k}{sub {ital F}} 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.

• OSTI ID: 90531
• Journal Information: Physical Review, B: Condensed Matter, Vol. 52, Issue 8; Other Information: PBD: 15 Aug 1995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
HUBBARD MODEL
CORRELATION FUNCTIONS
DENSITY MATRIX
ONE-DIMENSIONAL CALCULATIONS
SINGULARITY