Spectral fluctuations of the atomic vibrations in glasses: random matrix theory and beyond
Fabian, Jaroslav
Original · EN
It is demonstrated on a realistic model of amorphous alloy Si₀.₉Ge₀.₁ 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 Nₜ, where propagons obey the Altshuler-Shklovskii power law, Σ₂ N³/² for the variance Σ₂ of the number of levels N, while a new power law, Σ₂ N, is observed for diffusons.
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