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Chinese Physics, 2006, Vol. 15(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

Li De-Jun (李德俊)ab, Mi Xian-Wu (米贤武)a, Deng Ke (邓科)a, Tang Yi (唐翌)b
a Department of Physics, Jishou University, Jishou 416000, China; b Department of Physics, Xiangtan University, Xiangtan 411105, China
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.
Keywords:  antiferromagnetic chain      Hartree approximation      quantum soliton      quantum intrinsic localized mode  
Received:  09 August 2005      Revised:  12 September 2005      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  75.10.-b (General theory and models of magnetic ordering)  
  75.50.Ee (Antiferromagnetics)  
Fund: Project supported by the Natural Science Foundation of Hunan Province, China (Grant No 03JJY6008).

Cite this article: 

Li De-Jun (李德俊), Mi Xian-Wu (米贤武), Deng Ke (邓科), Tang Yi (唐翌) Solitons and intrinsic localized modes in a one-dimensional antiferromagnetic chain 2006 Chinese Physics 15 39

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