李新梅, 徐慧, 马松山. 一维无序体系的振动局域态[J]. 云南大学学报(自然科学版), 2005, 27(3): 232-234,244.
引用本文: 李新梅, 徐慧, 马松山. 一维无序体系的振动局域态[J]. 云南大学学报(自然科学版), 2005, 27(3): 232-234,244.
LI Xin-mei, XU Hui, MA Song-shan. The localization of vibration in one-dimensional disordered system[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(3): 232-234,244.
Citation: LI Xin-mei, XU Hui, MA Song-shan. The localization of vibration in one-dimensional disordered system[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(3): 232-234,244.

一维无序体系的振动局域态

The localization of vibration in one-dimensional disordered system

  • 摘要: 应用点阵动力学的方法以及五对角对阵矩阵本征矢算法,考虑原子间次近邻相互作用,计算了一维无序体系的振动本征态的分布.结果表明与电子本征态分布一样,无序体系的声子态分布也具有局域性,且局域程度与本征频率的大小、体系无序程度以及系统大小有密切的关系.

     

    Abstract: Considering second-neighbour interaction,the distribution of vibrational eigenvectors in one-dimensional disordered system is calculated by means of lattice dynamics and a new algorithm for five diagonal matrix.The result shows that,like the electronic eigenvectors,the phonon eigenvectors in the disordered system are localized.And the degree of localization is related to the eigenfrequency,degree of disorder and number of lattices.

     

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