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

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

2001-04-24

arxiv.org/abs/cond-mat/0104464v1

Physics

Condensed Matter

4 pages

Scientific paper

It 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, $\Sigma_2\sim N^{3/2}$ for the variance $\Sigma_2$ of the number of levels $N$, while a new power law, $\Sigma_2\sim N$, is observed for diffusons.

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