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

2001/04/24 by Jaroslav Fabian, Fabian, Jaroslav
Materials Science · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Material Dynamics and Properties #Phase-change materials and chalcogenides #Quantum optics and atomic interactions #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0104464

4 pages

arxiv created 2001/04/24 · openalex publication_date 2001/04/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is demonstrated on a realistic model of amorphous alloy Si_0.9Ge_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, Σ₂∼ N^3/2 for the variance Σ₂ of the number of levels N, while a new power law, Σ₂∼ N, is observed for diffusons.

Related

• Atomic Vibrations in Glasses
• Universality in the Vibrational Spectra of Amorphous Systems
• Universal fluctuations in the relaxation of structural glasses
• The Microscopic Quantum Theory of Low Temperature Amorphous Solids
• Universal Collective Behavior of the Vibration Spectrum of Highly Connected Disordered Systems