Modulational instability and localized modes in Heisenberg ferromagnetic chains with single-ion easy-axis anisotropy

被引：30

作者：

Tang, Bing ^{[1
]}

Li, Guang-Ling ^{[1
]}

Fu, Mei ^{[1
]}

机构：

[1] Jishou Univ, Coll Phys Mech & Elect Engn, Jishou 416000, Peoples R China

来源：

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS | 2017年 / 426卷

基金：

中国国家自然科学基金;

关键词：

Solitons; Intrinsic localized modes; Modulational instability; Anisotropic ferromagnets; NONLINEAR SCHRODINGER-EQUATION; ENERGY LOCALIZATION; DISCRETE BREATHERS; SOLITONS; LATTICES; WAVES;

D O I：

10.1016/j.jmmm.2016.11.116

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A semiclassical theoretical study on the property of the modulational instability of corresponding linear spin-waves and the presence of nonlinear localized excitations in a discrete quantum ferromagnetic spin chain with single-ion easy-axis anisotropy is reported. We consider the Glauber coherent-state representation combined with the Dyson-Maleev transformation for local spin operators as the basic representation of the system, and derive the equation of motion by means of the Ehrenfest theorem. Using a modulational instability analysis of plane waves, we predict the existence regions of bright envelope solitons and intrinsic localized spin-wave modes. Besides, with the help of a semidiscrete multi-scale method, we obtain analytical solutions for the bright envelope soliton and intrinsic localized spin-wave mode. Moreover, we analyze their existence conditions, which agree with the results of modulational instability analysis.

引用

页码：429 / 434

页数：6

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