Abstract
The phonon frequency spectrum has been calculated for a linear atomic chain doped at random with atoms of another mass and bound with another force constant than the host chain. Narrow bands above the maximum frequency of the undisturbed chain as well as peaks superimposed on the spectrum have been found and are discussed.
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The author wishes to thank Prof. Dr. S.Flügge for helpful discussions and for his criticism of the manuscript.
He is grateful for the generous grant of computing time on the Siemens 2002 and the IBM 7040 Computers of the Rechenzentrum of the University Freiburg.
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Ernst, G. Frequency spectra of one-dimensional lattices with impurities distributed at random. Z. Physik 197, 343–355 (1966). https://doi.org/10.1007/BF01326189
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DOI: https://doi.org/10.1007/BF01326189