Robustness of density of low-frequency states in amorphous solids
Prasenjit Das, H. G. E. Hentschel, Edan Lerner, Itamar Procaccia
Abstract
Low-frequency quasilocalized modes of amorphous glass appear to exhibit universal density of states, depending on the frequencies as $D(\ensuremath{\omega})\ensuremath{\sim}{\ensuremath{\omega}}^{4}$. To date, various models of glass formers with short-range binary interaction and network glass with both binary and ternary interactions were shown to conform with this law. In this paper, we examine granular amorphous solids with long-range electrostatic interactions and find that they exhibit the same law. To rationalize this wide universality class, we return to a model proposed by Gurevich, Parshin, and Schober (GPS) [Phys. Rev. B 67, 094203 (2003)] and analyze its predictions for interaction laws with varying spatial decay, exploring this wider-than-expected universality class. Numerical and analytic results are provided for both the actual system with long-range interaction and for the GPS model.