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

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.