Spectral fluctuations of the atomic vibrations in glasses: random matrix theory and beyond

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dc.creatorFabian, Jaroslav
dc.date2001-04-24
dc.date.accessioned2026-07-07T02:41:11Z
dc.date.available2026-07-07T02:41:11Z
dc.descriptionIt is demonstrated on a realistic model of amorphous alloy Si$_{0.9}$Ge$_{0.1}$ with 1000 atoms, that short-range spectral fluctuations of propagons and diffusons are universal and in agreement with random matrix theory. The universality ceases at distances greater than Thouless number $N_T$, where propagons obey the Altshuler-Shklovskii power law, $Σ_2\sim N^{3/2}$ for the variance $Σ_2$ of the number of levels $N$, while a new power law, $Σ_2\sim N$, is observed for diffusons.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0104464
dc.identifierhttp://arxiv.org/abs/cond-mat/0104464
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17648
dc.subjectCondensed Matter
dc.titleSpectral fluctuations of the atomic vibrations in glasses: random matrix theory and beyond
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