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Theory of Spin-Wave Interactions in Ferro- and Antiferromagnetism
Abstract
The spin-wave theory in an ideal Heisenberg model of a ferromagnet is studied using Holstein and Primakoff's method including the spin-wave interactions. Several earlier published results of the correction to the spontaneous magnetization produced by spin-wave interactions were in disagreement with each other, and they were not in agreement with Dyson's result which is regarded as rigorous at low temperatures. Our result is in agreement with Dyson's to the order which we have considered.Our method can be applied to antiferromagnetism easily. We have obtained the correction arising from interactions between spin waves. The correction term is quite small. This means that the simple theory neglecting the spin-wave interactions is sufficient for practical purposes.
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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
Colloquium: Spontaneous magnon decays
Zhitomirsky, M. E., & Chernyshev, A. L. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.219 · Cited by 278
Dynamical properties of a hole in a Heisenberg antiferromagnet
Liu, Z., & Manousakis, E. (1992) · Physical Review B · doi:10.1103/physrevb.45.2425 · Cited by 274
Metadata
- Authors
- Oguchi, T.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1960-01-01
- Volume
- 117
- Issue
- 1
- Pages
- 117-123
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2224808338
- Cited by
- 661
- References
- 0
- FWCI
- 6.61
- Type
- journal article
- Language
- en
- Open access
- closed
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- Oguchi, T. (1960). Theory of Spin-Wave Interactions in Ferro- and Antiferromagnetism. Physical Review. https://doi.org/10.1103/physrev.117.117
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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).
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