Application of the random matrix theory to the boson peak in glasses
| Autor: | D. A. Conyuh, Yaroslav M. Beltukov, D. A. Parshin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
History Condensed matter physics FOS: Physical sciences Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Omega Computer Science Applications Education Amorphous solid symbols.namesake Vibrational density of states Density of states symbols Boson peak Random matrix Debye |
| Popis: | The density of vibrational states g(ω) of an amorphous system is studied by using the random-matrix theory. Taking into account the most important correlations between elements of the random matrix of the system, equations for the density of vibrational states g(ω) are obtained. The analysis of these equations shows that in the low-frequency region the vibrational density of states has the Debye behavior g(ω) ∼ ω2. In the higher frequency region, there is the boson peak as an additional contribution to the density of states. The obtained equations are in a good agreement with the numerical results and allow us to find an exact shape of the boson peak. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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