Effective field theory and the scattering process for magnons in ferromagnets, antiferromagnets, and ferrimagnets

• 資料種別: 記事
• タイトル: Effective field theory and the scattering process for magnons in ferromagnets, antiferromagnets, and ferrimagnets
• 著者・編者: Shinya Gongyo; Yuta Kikuchi; Tetsuo Hyodo
• 出版事項: 日本 : Oxford University Press
• 出版年月日等: 2016-08-02
• 出版年（W3CDTF）: 2016-08-02
• タイトル（掲載誌）: Progress of Theoretical and Experimental Physics : PTEP
• 巻号年月日等（掲載誌）: 2016(8)
• 掲載巻: 2016(8)
• ISSN（掲載誌）: 2050-3911
• 本文の言語コード: eng
• DOI: 10.1093/ptep/ptw095; https://doi.org/10.1093/ptep/ptw095
• 国立国会図書館永続的識別子: info:ndljp/pid/11287075; https://dl.ndl.go.jp/pid/11287075
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• 受理日（W3CDTF）: 2019-05-28T15:53:34+09:00
• 保存日（W3CDTF）: 2019-01-08
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• 掲載誌（URI）: https://academic.oup.com/ptep/article/2016/8/083B01/2594880
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• 要約等: We discuss that a low-energy effective Lagrangian relying on SO(3) → SO(2) is applicable for a ferrimagnet as well as a ferromagnet and an antiferromagnet. We derive the Hamiltonian from the Lagrangian using the Poisson and Dirac brackets, and determine the particle states. The analysis of the particle states shows that there exist not only massless modes with the dispersion relations ω∝|k|, |k|2ω, i.e., the so-called type-I and type-II Nambu–Goldstone modes, respectively, but also gapped modes with ω∝m2+|k|2ω . We clarify how the coefficients of the terms with one time derivative and those with two time derivatives in the effective Lagrangian determine the order parameters specifying whether the system is in a ferromagnetic, antiferromagnetic, or ferrimagnetic state; we stress that the gapped mode resulting form the spontaneous symmetry breaking appears only in the ferrimagnetic system and not in the ferromagnetic and antiferromagnetic systems. We also establish the power-counting scheme and calculate the scattering amplitudes and thereby the scattering lengths between the two Nambu–Goldstone bosons. We show that the scattering length of the gapped mode is finite and proportional to the gap. This characteristic property of the gapped NG mode can be used to discriminate it from gapped excitations that originate in other mechanisms. Finally, we study the effects of the explicit symmetry breaking that are given by an external magnetic field and a single-ion anisotropy, and show that the external magnetic fields do not have any effects on the scattering amplitudes in all the spin systems, as was known for the ferromagnet system. In contrast, the anisotropy does affect the scattering amplitudes, the phase shift, and the scattering length except for spin 1/2 systems. This result supports the possibility of the Efimov effect in spin systems discussed in previous studies.
• DOI: 10.1093/ptep/ptw095; https://doi.org/10.1093/ptep/ptw095; 10.48550/arxiv.1602.08692; https://doi.org/10.48550/arxiv.1602.08692
• オンライン閲覧公開範囲: インターネット公開
• 著作権情報: © The Author(s) 2016. Published by Oxford University Press on behalf of the Physical Society of Japan.; This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
• 関連情報（URI）: http://hdl.handle.net/2433/227142; http://id.ndl.go.jp/digimeta/11287075; https://dl.ndl.go.jp/pid/11287075; http://academic.oup.com/ptep/article-pdf/2016/8/083B01/9620718/ptw095.pdf
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