Geodesic
Soft-mode related origin of the~boson peak and acoustic-phonon broadening in glasses
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 1, pp. 77-90

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We study the origin of the boson peak and an associated mechanism for acoustic-phonon broadening (below the peak) in glasses exhibiting a high-frequency sound above the peak. The origin is related to the Ioffe–Regel crossover for inelastic (resonant) scattering of acoustic phonons from harmonic soft-mode vibrations. The broadening mechanism is due to the resonant interaction of a harmonic soft-mode vibration with acoustic phonons, which results in the resonant scattering. We find that the associated width of the phonon is independent of temperature and is characterized by a power-law frequency dependence with the exponent varying from $\varkappa=2$ just below the boson peak to $\varkappa=4$ at lower frequencies. The dependences seem to partly agree with some recent experimental data for the glasses under consideration.
Keywords: boson peak, glass dynamics, soft mode. 
@article{TMF_2008_154_1_a4,
     author = {M. I. Klinger},
     title = {Soft-mode related origin of the~boson peak and acoustic-phonon broadening in glasses},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {77--90},
     publisher = {mathdoc},
     volume = {154},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_1_a4/}
}
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M. I. Klinger. Soft-mode related origin of the~boson peak and acoustic-phonon broadening in glasses. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 1, pp. 77-90. http://geodesic.mathdoc.fr/item/TMF_2008_154_1_a4/