Probing the non-Debye low frequency excitations in glasses through random pinning

Abstract

We investigate the properties of the low-frequency spectrum in the density of states $D(\omega )$ of a three-dimensional model glass former. To magnify the Non-Debye sector of the spectrum, we introduce a random pinning field that freezes a finite particle fraction in order to break the translational invariance and shifts all the vibrational frequencies of the extended modes towards higher frequencies. We show that Non-Debye soft localized modes progressively emerge as the fraction $p$ of pinned particles increases. Moreover, the low-frequency tail of $D(\omega )$ goes to zero as a power law ${\omega }^{\delta (p)}$, with $2\le \delta (p)\le 4$ and $\delta =4$ above a threshold fraction $p_{th}$.

4 Figures, submitted to PNAS

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