Nonphononic spectrum of two-dimensional structural glasses

TL;DR

This study investigates the low-frequency vibrational spectrum of two-dimensional structural glasses, revealing system-size dependence and protocol effects on spectral characteristics, which align with behaviors observed in three-dimensional glasses.

Contribution

It provides numerical evidence that the prefactor and exponent of the nonphononic vibrational spectrum depend on system size and formation protocol in 2D glasses.

Findings

Prefactor $A_g$ depends on system size.

Exponent $eta$ varies with glass formation protocol.

Behavior aligns with 3D structural glasses.

Abstract

The scaling form and system-size dependence of the low-frequency wing of the nonphononic vibrational spectrum of two-dimensional structural glasses have been debated in recent literature. Here we provide numerical evidence that the prefactor $A_{\rm g}$ of the low-frequency nonphononic vibrational spectrum -- the latter grows from zero frequency ($\omega\!=\!0$) as $A_{\rm g}\omega^\beta$ -- is system-size dependent, and that the exponent $\beta$ exhibits a similar glass-formation-protocol and system-size dependence as seen in three-dimensional structural glasses.