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

Due to a misunderstanding about public presentation of privately shared data we withdraw our independent analysis of the cumulative density of states presented in Fig. 2 and Fig. 3 and the associated discussion found in paragraphs 6, 9, 10, and 12