Enumerating low-frequency nonphononic vibrations in computer glasses

Author:

Lerner Edan1ORCID,Moriel Avraham2ORCID,Bouchbinder Eran3ORCID

Affiliation:

1. Institute of Theoretical Physics, University of Amsterdam 1 , Science Park 904, 1098XH Amsterdam, The Netherlands

2. Department of Mechanical and Aerospace Engineering, Princeton University 2 , Princeton, New Jersey 08544, USA

3. Chemical and Biological Physics Department, Weizmann Institute of Science 3 , Rehovot 7610001, Israel

Abstract

In addition to Goldstone phonons that generically emerge in the low-frequency vibrational spectrum of any solid, crystalline or glassy, structural glasses also feature other low-frequency vibrational modes. The nature and statistical properties of these modes—often termed “excess modes”—have been the subject of decades-long investigation. Studying them, even using well-controlled computer glasses, has proven challenging due to strong spatial hybridization effects between phononic and nonphononic excitations, which hinder quantitative analyses of the nonphononic contribution DG(ω) to the total spectrum D(ω), per frequency ω. Here, using recent advances indicating that DG(ω)=D(ω)−DD(ω), where DD(ω) is Debye’s spectrum of phonons, we present a simple and straightforward scheme to enumerate nonphononic modes in computer glasses. Our analysis establishes that nonphononic modes in computer glasses indeed make an additive contribution to the total spectrum, including in the presence of strong hybridizations. Moreover, it cleanly reveals the universal DG(ω)∼ω4 tail of the nonphononic spectrum, and opens the way for related analyses of experimental spectra of glasses.

Funder

James S. McDonnell Foundation

Ben May Center for Chemical Theory

Harold Perlman Family

Publisher

AIP Publishing

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