Localization of vibrational defects in one-dimensional structures with a complex unit cell
作者:
M. A. Mamalui,
E. S. Syrkin,
S. B. Feodosyev,
期刊:
Low Temperature Physics
(AIP Available online 1998)
卷期:
Volume 24,
issue 8
页码: 583-592
ISSN:1063-777X
年代: 1998
DOI:10.1063/1.593646
出版商: AIP
数据来源: AIP
摘要:
Exact analytic expressions are obtained for Green’s functions of a linear chain with a diatomic unit cell containing an isotopic substitutional impurity. An infinite chain as well as a semi-infinite chain with an impurity at the free end are considered. The total change in the phonon spectrum and the spectral densities of vibrations of the impurity and its nearest neighbors are investigated. The conditions for the formation and characteristics of local and gap vibrations are analyzed. A general method of obtaining exact solutions by using Jacobi matrices is proposed for a wide class of one-dimensional systems. ©1998 American Institute of Physics.
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