中国物理B ›› 2006, Vol. 15 ›› Issue (1): 39-44.doi: 10.1088/1009-1963/15/1/007

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Solitons and intrinsic localized modes in a one-dimensional antiferromagnetic chain

米贤武1, 邓科1, 李德俊2, 唐翌3   

  1. (1)Department of Physics, Jishou University, Jishou 416000, China; (2)Department of Physics, Jishou University, Jishou 416000, China;Department of Physics, Xiangtan University, Xiangtan 411105, China; (3)Department of Physics, Xiangtan University, Xiangtan 411105, China
  • 收稿日期:2005-08-09 修回日期:2005-09-12 出版日期:2006-01-20 发布日期:2006-01-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Hunan Province, China (Grant No 03JJY6008).

Solitons and intrinsic localized modes in a one-dimensional antiferromagnetic chain

Li De-Jun (李德俊)ab, Mi Xian-Wu (米贤武)a, Deng Ke (邓科)a, Tang Yi (唐翌)b   

  1. a Department of Physics, Jishou University, Jishou 416000, China; b Department of Physics, Xiangtan University, Xiangtan 411105, China
  • Received:2005-08-09 Revised:2005-09-12 Online:2006-01-20 Published:2006-01-20
  • Supported by:
    Project supported by the Natural Science Foundation of Hunan Province, China (Grant No 03JJY6008).

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摘要： By use of the Hartree approximation and the method of multiple scales, we investigate quantum solitons and intrinsic localized modes in a one-dimensional antiferromagnetic chain. It is shown that there exist solitons of two different quantum frequency bands: i.e., magnetic optical solitons and acoustic solitons. At the boundary of the Brillouin zone, these solitons become quantum intrinsic localized modes: their quantum eigenfrequencies are below the bottom of the harmonic optical frequency band and above the top of the harmonic acoustic frequency band.

关键词: antiferromagnetic chain, Hartree approximation, quantum soliton, quantum intrinsic localized mode

Abstract: By use of the Hartree approximation and the method of multiple scales, we investigate quantum solitons and intrinsic localized modes in a one-dimensional antiferromagnetic chain. It is shown that there exist solitons of two different quantum frequency bands: i.e., magnetic optical solitons and acoustic solitons. At the boundary of the Brillouin zone, these solitons become quantum intrinsic localized modes: their quantum eigenfrequencies are below the bottom of the harmonic optical frequency band and above the top of the harmonic acoustic frequency band.

Key words: antiferromagnetic chain, Hartree approximation, quantum soliton, quantum intrinsic localized mode

中图分类号:  (Solitons)

  • 05.45.Yv
75.10.-b (General theory and models of magnetic ordering) 75.50.Ee (Antiferromagnetics)