THEORY OF STATIONARY ANHARMONIC LOCALIZED MODES IN SOLIDS

被引：64
作者：
TAKENO, S
机构：
[1] Laboratory of Physics, Faculty of Engineering and Design, Kyoto Institute of Technology
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1992年 / 61卷 / 08期
关键词：
D O I：
10.1143/JPSJ.61.2821
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A theory of stationary anharmonic localized modes in solids with the cubic and hard quartic lattice anharmonicity is formulated. The theory using the lattice-Green's function method is, in principle, applicable to any type of solids, ordered or disordered, of any dimension. Nonlinear eigenvalue problems for a fundamental mode and its higher harmonics are solved in a successive manner. The obtained result is illustrated for a d-dimensional version of the simple cubic lattice with nearest neighbor interactions to obtain concrete results for the localized-mode frequency, its profile functions, lattice distortions, and so on. For extreme localization, the stationary anharmonic localized mode is well described by a generalized anharmonic Einstein oscillator model.
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页码：2821 / 2834
页数：14
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