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‘‘Θ physics’’ and quantum spin chains (abstract)
Abstract
The one-dimensional quantum Heisenberg antiferromagnet with exchange alternation is related to the nonlinear 0(3) sigma model with a topological ‘‘θ term’’ in the Langrangian. The models with parity symmetry (θ=0 or π) are respectively related to the integer and half-integer spin models without exchange alternation. The nonlinear quantum physics of Heisenberg antiferromagnets is placed in a wider context of topologically nontrivial field theories and the spin-Peierls effect in half-integer spin systems (and its absence in integer spin systems) explained.
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Cited by
Rigorous results on valence-bond ground states in antiferromagnets
Affleck, I., Kennedy, T., Lieb, E. H., & Tasaki, H. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.799 · Cited by 2,223
Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains
den Nijs, M., & Rommelse, K. (1989) · Physical Review B · doi:10.1103/physrevb.40.4709 · Cited by 936
Spin-Peierls, valence-bond solid, and Néel ground states of low-dimensional quantum antiferromagnets
Read, N., & Sachdev, S. (1990) · Physical Review B · doi:10.1103/physrevb.42.4568 · Cited by 493
Rommer, S., & Östlund, S. (1997) · Physical Review B · doi:10.1103/physrevb.55.2164 · Cited by 431
Coldea, R., Tennant, D. A., & Tylczynski, Z. (2003) · Physical Review B · doi:10.1103/physrevb.68.134424 · Cited by 277
Metadata
- Authors
- Haldane, F. D. M.
- Venue
- Journal of Applied Physics
- Publisher
- AIP Publishing
- Published
- 1985-04-15
- Volume
- 57
- Issue
- 8
- Pages
- 3359-3359
- ISSN
- 0021-8979 (ISSN-L)
- 1089-7550
- OpenAlex
- W2112219923
- Cited by
- 171
- References
- 0
- FWCI
- 1.92
- Type
- journal article
- Language
- en
- Open access
- closed
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- Haldane, F. D. M. (1985). ‘‘Θ physics’’ and quantum spin chains (abstract). Journal of Applied Physics. https://doi.org/10.1063/1.335096
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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.
