The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Order versus disorder in the quantum Heisenberg antiferromagnet on thekagomélattice using exact spectra analysis
Open accessAbstract
A group-symmetry analysis of the low-lying levels of the spin-1/2 kagom\'e Heisenberg antiferromagnet is performed for small samples up to $N=27$. This approach allows one to follow the effect of quantum fluctuations when the sample size increases. The results contradict the scenario of ``order by disorder'' which has been advanced on the basis of large-$S$ calculations. A large enough second-neighbor ferromagnetic exchange coupling is needed to stabilize the $\sqrt{3}\ifmmode\times\else\texttimes\fi{}\sqrt{3}$ pattern: the finite-size analysis indicates a quantum critical transition at a nonzero coupling.
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Citations
Cites
An Approximate Quantum Theory of the Antiferromagnetic Ground State
Anderson, P. W. (1952) · Physical Review · doi:10.1103/physrev.86.694 · Cited by 1,333
The spin-½ Heisenberg antiferromagnet on a square lattice and its application to the cuprous oxides
Manousakis, E. (1991) · Reviews of Modern Physics · doi:10.1103/revmodphys.63.1 · Cited by 1,265
Ordering Energy Levels of Interacting Spin Systems
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Order as an effect of disorder
Villain, J., Bidaux, R., Carton, J.-P., & Conte, R. (1980) · Journal de physique · doi:10.1051/jphys:0198000410110126300 · Cited by 819
Ordering due to disorder in a frustrated vector antiferromagnet
Henley, C. L. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2056 · Cited by 663
Simple Variational Wave Functions for Two-Dimensional Heisenberg Spin-½ Antiferromagnets
Huse, D. A., & Elser, V. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.2531 · Cited by 565
Hidden order in a frustrated system: Properties of the Heisenberg Kagomé antiferromagnet
Chalker, J. T., Holdsworth, P. C. W., & Shender, E. F. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.855 · Cited by 468
Bernu, B., Lecheminant, P., Lhuillier, C., & Pierre, L. (1994) · Physical Review B · doi:10.1103/physrevb.50.10048 · Cited by 406
Self-citationSignature of Néel order in exact spectra of quantum antiferromagnets on finite lattices
Bernu, B., Lhuillier, C., & Pierre, L. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2590 · Cited by 384
Self-citationThree-sublattice order in triangular- and Kagomé-lattice spin-half antiferromagnets
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Spin liquids in frustrated magnets
Balents, L. (2010) · Nature · doi:10.1038/nature08917 · Cited by 4,316
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Gardner, J. S., Gingras, M. J. P., & Greedan, J. E. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.53 · Cited by 1,372
Colloquium : Herbertsmithite and the search for the quantum spin liquid
Norman, M. R. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.041002 · Cited by 580
Quantum Magnetism in the Paratacamite Family: Towards an Ideal Kagomé Lattice
Mendels, P., Bert, F., de Vries, M. A., Olariu, A., Harrison, A., Duc, F., Trombe, J. C., Lord, J. S., Amato, A., & Baines, C. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.077204 · Cited by 465
Metadata
- Authors
- Lecheminant, P., Bernu, B., Lhuillier, C., Pierre, L., & Sindzingre, P.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1997-08-01
- Volume
- 56
- Issue
- 5
- Pages
- 2521-2529
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W229823025
- Cited by
- 362
- References
- 19
- FWCI
- 8.80
- Type
- journal article
- Language
- en
- Open access
- green
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- CoChat. (2026). Citation check: Order versus disorder in the quantum Heisenberg antiferromagnet on thekagomélattice using exact spectra analysis. https://app.cochat.ai/papers/10.1103/physrevb.56.2521
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- Lecheminant, P., Bernu, B., Lhuillier, C., Pierre, L., & Sindzingre, P. (1997). Order versus disorder in the quantum Heisenberg antiferromagnet on thekagomélattice using exact spectra analysis. Physical Review B. https://doi.org/10.1103/physrevb.56.2521
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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