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Low-Frequency Excess Vibrational Modes in Two-Dimensional Glasses

Lijin Wang, Grzegorz Szamel, and Elijah Flenner
Phys. Rev. Lett. 127, 248001 – Published 7 December 2021; Erratum Phys. Rev. Lett. 129, 019901 (2022)
Physics logo See synopsis: Glassy Behavior Depends on Dimension
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Abstract

Glasses possess more low-frequency vibrational modes than predicted by Debye theory. These excess modes are crucial for the understanding of the low temperature thermal and mechanical properties of glasses, which differ from those of crystalline solids. Recent simulational studies suggest that the density of the excess modes scales with their frequency ω as ω4 in two and higher dimensions. Here, we present extensive numerical studies of two-dimensional model glass formers over a large range of glass stabilities. We find that the density of the excess modes follows Dexc(ω)ω2 up to around the boson peak, regardless of the glass stability. The stability dependence of the overall scale of Dexc(ω) correlates with the stability dependence of low-frequency sound attenuation. However, we also find that, in small systems, where the first sound mode is pushed to higher frequencies, at frequencies below the first sound mode, there are excess modes with a system size independent density of states that scales as ω3.

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  • Received 14 July 2021
  • Accepted 9 November 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.248001

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Erratum

Erratum: Low-Frequency Excess Vibrational Modes in Two-Dimensional Glasses [Phys. Rev. Lett. 127, 248001 (2021)]

Lijin Wang, Grzegorz Szamel, and Elijah Flenner
Phys. Rev. Lett. 129, 019901 (2022)

synopsis

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Glassy Behavior Depends on Dimension

Published 7 December 2021

The number of excess vibrational modes in glasses scales differently in two dimensions than it does in three.

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Authors & Affiliations

Lijin Wang1,*, Grzegorz Szamel2, and Elijah Flenner2,†

  • 1School of Physics and Optoelectronics Engineering, Information Materials and Intelligent Sensing Laboratory of Anhui Province, Anhui University, Hefei 230601, People’s Republic of China
  • 2Department of Chemistry, Colorado State University, Fort Collins, Colorado 80523, USA

  • *lijin.wang@ahu.edu.cn
  • flennere@gmail.com

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Issue

Vol. 127, Iss. 24 — 10 December 2021

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