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This article is cited in 19 scientific papers (total in 19 papers)
CONDENSED MATTER
Boson peak in various random-matrix models
Y. M. Beltukova, D. A. Parshinb a Ioffe Institute, St. Petersburg, Russia
b Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia
Abstract:
A so-called boson peak in the reduced density $g(\omega)\omega^2$ of vibrational states is one of the most universal properties of amorphous solids (glasses). It quantifies the excess density of states above the Debye value at low frequencies $\omega$. Its nature is not fully understood and, at a first sight, is nonuniversal. It is shown in this work that, under rather general assumptions, the boson peak emerges in a natural way in very dissimilar models of stable random dynamic matrices possessing translational symmetry. This peak can be shifted toward both higher and lower frequencies (down to zero frequency) by varying the parameters of the distribution and the degree of disorder in the system. The frequency $\omega_b$ of the boson peak appears to be proportional to the elastic modulus $E$ of the system in all cases under investigation.
Received: 01.09.2016
Citation:
Y. M. Beltukov, D. A. Parshin, “Boson peak in various random-matrix models”, Pis'ma v Zh. Èksper. Teoret. Fiz., 104:8 (2016), 570–574; JETP Letters, 104:8 (2016), 552–556
Linking options:
https://www.mathnet.ru/eng/jetpl5093 https://www.mathnet.ru/eng/jetpl/v104/i8/p570
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Abstract page: | 262 | Full-text PDF : | 66 | References: | 47 | First page: | 6 |
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