Frequency Spectrum of a Disordered One-Dimensional Lattice
- 1 July 1961
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 2 (4) , 584-591
- https://doi.org/10.1063/1.1703742
Abstract
The frequency spectrum of a disordered one‐dimensional lattice is calculated via an investigation of the phonon propagator. The spectrum is evaluated in detail for a low concentration of light impurities inserted at random along a linear chain. It is found that an impurity band occurs near the frequency of the local mode. Higher‐order effects resulting from clusters of impurities are calculated and discussed.Keywords
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