The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Exact Jastrow-Gutzwiller resonating-valence-bond ground state of the spin-(1/2 antiferromagnetic Heisenberg chain with 1/r2exchange
Abstract
A set of Jastrow wave functions comprises exact eigenstates of a family of S= $\frac{1}{2}$ antiferromagnetic chains with ${\mathrm{r}}^{\mathrm{\ensuremath{-}}2}$ exchange. The ground state of the isotropic model is in this set, and is identical to the U\ensuremath{\rightarrow}\ensuremath{\infty} limit of the Gutzwiller wave function, also identified as Anderson's ``resonating-valence-bond'' state. The full set of energy levels of this model is obtained; the spectrum exhibits remarkable ``supermultiplet'' degeneracies suggesting the existence of a hidden continuous symmetry.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Resonating valence bonds: A new kind of insulator?
Anderson, P. W. (1973) · Materials Research Bulletin · doi:10.1016/0025-5408(73)90167-0 · Cited by 2,823
Effect of Correlation on the Ferromagnetism of Transition Metals
Gutzwiller, M. C. (1963) · Physical Review Letters · doi:10.1103/physrevlett.10.159 · Cited by 1,866
Equivalence of the resonating-valence-bond and fractional quantum Hall states
Kalmeyer, V., & Laughlin, R. B. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.2095 · Cited by 1,163
Resonating–valence-bond theory of phase transitions and superconductivity inLa2CuO4-based compounds
Anderson, P. W., Baskaran, G., Zou, Z., & Hsu, T. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2790 · Cited by 904
On the ground state properties of the anisotropic triangular antiferromagnet
Fazekas, P., & Anderson, P. W. (1974) · Philosophical Magazine · doi:10.1080/14786439808206568 · Cited by 820
Exact solution of an S=1/2 Heisenberg antiferromagnetic chain with long-ranged interactions
Shastry, B. S. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.639 · Cited by 768
Haldane, F. D. M. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.1358 · Cited by 760
Self-citationQuantum Many-Body Problem in One Dimension: Ground State
Sutherland, B. (1971) · Journal of Mathematical Physics · doi:10.1063/1.1665584 · Cited by 696
Spontaneous dimerization in theS=12Heisenberg antiferromagnetic chain with competing interactions
Haldane, F. D. M. (1982) · Physical Review B · doi:10.1103/physrevb.25.4925 · Cited by 523
Self-citationAntiferromagnetic correlations in almost-localized Fermi liquids
Gros, C., Joynt, R., & Rice, T. M. (1987) · Physical Review B · doi:10.1103/physrevb.36.381 · Cited by 422
Cited by
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090
Supersymmetry and quantum mechanics
Cooper, F., Khare, A., & Sukhatme, U. (1995) · Physics Reports · doi:10.1016/0370-1573(94)00080-m · Cited by 2,735
Quantum Monte Carlo Approaches for Correlated Systems
Becca, F., & Sorella, S. (2017) · doi:10.1017/9781316417041 · Cited by 523
Time-evolving a matrix product state with long-ranged interactions
Zaletel, M. P., Mong, R. S. K., Karrasch, C., Moore, J. E., & Pollmann, F. (2015) · Physical Review B · doi:10.1103/physrevb.91.165112 · Cited by 323
Variational optimization algorithms for uniform matrix product states
Zauner-Stauber, V., Vanderstraeten, L., Fishman, M. T., Verstraete, F., & Haegeman, J. (2018) · Physical Review B · doi:10.1103/physrevb.97.045145 · Cited by 270
Metadata
- Authors
- Haldane, F. D. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1988-02-15
- Volume
- 60
- Issue
- 7
- Pages
- 635-638
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2119938582
- Cited by
- 835
- References
- 12
- FWCI
- 7.41
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Exact Jastrow-Gutzwiller resonating-valence-bond ground state of the spin-(1/2 antiferromagnetic Heisenberg chain with 1/r2exchange. https://app.cochat.ai/papers/10.1103/physrevlett.60.635
- The paper
- Haldane, F. D. M. (1988). Exact Jastrow-Gutzwiller resonating-valence-bond ground state of the spin-(1/2 antiferromagnetic Heisenberg chain with 1/r2exchange. Physical Review Letters. https://doi.org/10.1103/physrevlett.60.635
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.