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Three-sublattice order in triangular- and Kagomé-lattice spin-half antiferromagnets
Abstract
We study the possibility of \ensuremath{\surd}3 \ifmmode\times\else\texttimes\fi{} \ensuremath{\surd}3 antiferromagnetic order in the S=1/2 triangular- and Kagom\'e-lattice Heisenberg models. An Ising-like anisotropy is introduced into the Hamiltonian, which picks a pair of ground states out of the manifold of the classically ordered states. To study properties of the Heisenberg model, we develop series expansions around one ordered state. We find that the Kagom\'e-lattice model is disordered, whereas the triangular-lattice model is very close to the critical point for antiferromagnetism; if ordered, the latter has an order parameter much smaller than that predicted by spin-wave theory.
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Cited by
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
Bernu, B., Lecheminant, P., Lhuillier, C., & Pierre, L. (1994) · Physical Review B · doi:10.1103/physrevb.50.10048 · Cited by 406
Signature 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
Metadata
- Authors
- Singh, R. R. P., & Huse, D. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-03-16
- Volume
- 68
- Issue
- 11
- Pages
- 1766-1769
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2093101358
- Cited by
- 326
- References
- 0
- FWCI
- 10.06
- Type
- journal article
- Language
- en
- Open access
- closed
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- Singh, R. R. P., & Huse, D. A. (1992). Three-sublattice order in triangular- and Kagomé-lattice spin-half antiferromagnets. Physical Review Letters. https://doi.org/10.1103/physrevlett.68.1766
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