Universal Density of Low Frequency States in Amorphous Solids at Finite Temperatures

Abstract

It has been established that the low frequency quasi-localized modes of amorphous solids at zero temperature exhibit universal density of states, depending on the frequencies as $D(\omega )\sim {\omega }^4$. It remains an open question whether this universal law extends to finite temperatures. In this Letter we show that well quenched model glasses at temperatures as high as $T_g/3$ possess the same universal density of states. The only condition required is that {\em average} particle positions stabilize before thermal diffusion destroys the cage structure of the material. The universal density of quasi-localized low frequency modes refers then to vibrations around the thermally averaged configuration of the material.

arXiv comment4 Pages, 4 Figs, Under Review

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Cited by in corpus (11)

• Low-energy quasilocalized excitations in structural glasses
• Low-frequency vibrational spectrum of mean-field disordered systems
• Low-frequency excess vibrational modes in two-dimensional glasses
• Mean-field model of interacting quasilocalized excitations in glasses
• Marginal stability of soft anharmonic mean field spin glasses
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• Enhanced Vibrational Stability in Glass Droplets
• Two-level systems and harmonic excitations in a mean-field anharmonic quantum glass
• Universal Density of Low Frequency States in Silica Glass at Finite Temperatures