Scaling of the Non-Phononic Spectrum of Two-Dimensional Glasses

TL;DR

This paper investigates the scaling behavior of the non-phononic vibrational spectrum in two-dimensional glasses, providing evidence that the spectrum follows a specific power-law with an exponent around 3.5, unaffected by system size for large systems.

Contribution

The study offers new insights into the non-phononic spectrum scaling in 2D glasses, clarifying debates and showing size independence for large systems.

Findings

Non-phononic spectrum follows a power-law with exponent ~3.5

No significant finite size effects observed for systems >100 particles

Supports specific scaling behavior in 2D glasses

Abstract

The scaling of the non-phononic spectrum for 2D systems has been recently debated. Here we provide evidence that the non-phononic spectrum $D_{ex}(\omega) \sim \omega^\beta$ where $\beta \approx 3.5$ and there is no clear evidence of a finite size effect in beta for systems greater than 100 particles.