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Cited by 638

The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.

Bethe-ansatz wave function, momentum distribution, and spin correlation in the one-dimensional strongly correlated Hubbard model

Ogata, Masao, Shiba, Hiroyuki·1990·Physical Review B
DOI 10.1103/physrevb.41.2326
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Abstract

The momentum distribution function n(k) and spin-correlation function S(k) are determined for the one-dimensional large-U Hubbard model with various electron densities. The present work is featured with an application of the Bethe-ansatz wave function, which has a simple form in the large-U limit for any electron density. Namely, its charge degrees of freedom are expressed as a Slater determinant of spinless fermions, while its spin degrees of freedom are equivalent to the one-dimensional S=(1/2 Heisenberg model. The singularity of n(k) at k=${k}_{F}$ is analyzed from the system size dependence. In addition to the ${k}_{F}$ singularity, n(k) has a weak singularity at k=3${k}_{F}$; however, no detectable singularity is present at 2${k}_{F}$, which one might expect from the spinless fermion wave function. The singularity of S(k) at 2${k}_{F}$ is also examined in detail. It is concluded from the size dependence that, when the system is away from half-filling, the nature of the singularity at 2${k}_{F}$ is different from that in the Heisenberg model. The results are compared with the behavior in the weak-correlation regime examined with the perturbation calculation, the prediction of g-ology, and recent Monte Carlo calculations.

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Metadata

Authors
Ogata, M., & Shiba, H.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1990-02-01
Volume
41
Issue
4
Pages
2326-2338
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
DOI
10.1103/physrevb.41.2326
OpenAlex
W2022907304
Cited by
638
References
17
FWCI
19.03
Type
journal article
Language
en
Open access
closed

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