The approximate method developed by Wu for the study of the lattice dynamics of one-dimensional disordered systems is extended to be applicable to two- and three-dimensional systems. The basic ideas of the approach are reviewed and the multi-dimensional form of the approximation is developed. Applications are made to periodic lattices in all dimensions and the one-dimensional disordered lattice. Comparisons with previous results show excellent agreement.

Abstract

Die Näherungsmethode nach Wu für die Untersuchung der Gitterdynamik eindimensionaler, ungeordneter Systeme wird für zwei- und dreidimensionale Systeme erweitert. Die grundlegenden Ideen dieser Methode werden diskutiert und die mehrdimensionale Form der Näherung entwickelt. Anwendungen auf periodische Gitter in allen Dimensionen, und auf eindimensionale, ungeordnete Gitter werden angegeben. Ein Vergleich mit früheren Resultaten gibt vortreffliche Übereinstimmung.

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Volume104, Issue2

1 April 1981

Pages 441-452

Excitation Spectra of Disordered Systems. I. General Theory

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Excitation Spectra of Disordered Systems. I. General Theory

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