Low-frequency hybridized excess vibrations of two-dimensional glasses

doi:10.1088/1674-1056/ad205e

Abstract One hallmark of glasses is the existence of excess vibrational modes at low frequencies $\omega$ beyond Debye's prediction. Numerous studies suggest that understanding low-frequency excess vibrations could help gain insight into the anomalous mechanical and thermodynamic properties of glasses. However, there is still intensive debate as to the frequency dependence of the population of low-frequency excess vibrations. In particular, excess modes could hybridize with phonon-like modes and the density of hybridized excess modes has been reported to follow $D_{\rm exc}(\omega) \sim \omega^{2}$ in 2D glasses with an inverse power law potential. Yet, the universality of the quadratic scaling remains unknown, since recent work suggested that interaction potentials could influence the scaling of the vibrational spectrum. Here, we extend the universality of the quadratic scaling for hybridized excess modes in 2D to glasses with potentials ranging from the purely repulsive soft-core interaction to the hard-core one with both repulsion and attraction as well as to glasses with significant differences in density or interparticle repulsion. Moreover, we observe that the number of hybridized excess modes exhibits a decrease in glasses with higher density or steeper interparticle repulsion, which is accompanied by a suppression of the strength of the sound attenuation. Our results indicate that the density bears some resemblance to the repulsive steepness of the interaction in influencing low-frequency properties.

Keywords: density of states vibrational modes sound attenuation two-dimensional glasses

Received: 18 November 2023
Revised: 04 January 2024
Accepted manuscript online: 19 January 2024

PACS:	64.70.Q-	(Theory and modeling of the glass transition)
	64.70.kj	(Glasses)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12374202 and 12004001), Anhui Projects (Grant Nos. 2022AH020009, S020218016, and Z010118169), Hefei City (Grant No. Z020132009), and Anhui University (start-up fund).

Corresponding Authors: Lijin Wang
E-mail: lijin.wang@ahu.edu.cn

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Licun Fu(付立存), Yiming Zheng(郑一鸣), and Lijin Wang(王利近) Low-frequency hybridized excess vibrations of two-dimensional glasses 2024 Chin. Phys. B 33 056401

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