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Hidden order in a frustrated system: Properties of the Heisenberg Kagomé antiferromagnet
Abstract
We show that the classical Heisenberg antiferromagnet on a Kagom\'e lattice is an example of a spin nematic. By calculating the effects of thermal fluctuations around ground states, and by Monte Carlo simulations, we find entropically driven, local spin-nematic order at low temperature T with a correlation length which is divergent in the limit T\ensuremath{\rightarrow}0. Dynamical correlations are also studied, within the harmonic approximation, in the nematically ordered states.
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Cited by
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
Theory of two-dimensional quantum Heisenberg antiferromagnets with a nearly critical ground state
Chubukov, A. V., Sachdev, S., & Ye, J. (1994) · Physical Review B · doi:10.1103/physrevb.49.11919 · Cited by 441
Lecheminant, P., Bernu, B., Lhuillier, C., Pierre, L., & Sindzingre, P. (1997) · Physical Review B · doi:10.1103/physrevb.56.2521 · Cited by 362
Chernyshev, A. L., & Zhitomirsky, M. E. (2009) · Physical Review B · doi:10.1103/physrevb.79.144416 · Cited by 253
Asymptotics of 6 j and 10 j symbols
Freidel, L., & Louapre, D. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/7/303 · Cited by 113
Metadata
- Authors
- Chalker, J. T., Holdsworth, P. C. W., & Shender, E. F.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-02-10
- Volume
- 68
- Issue
- 6
- Pages
- 855-858
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2024511231
- Cited by
- 468
- References
- 0
- FWCI
- 8.31
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Hidden order in a frustrated system: Properties of the Heisenberg Kagomé antiferromagnet. https://app.cochat.ai/papers/10.1103/physrevlett.68.855
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- Chalker, J. T., Holdsworth, P. C. W., & Shender, E. F. (1992). Hidden order in a frustrated system: Properties of the Heisenberg Kagomé antiferromagnet. Physical Review Letters. https://doi.org/10.1103/physrevlett.68.855
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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.
