TY - JOUR
T1 - Bond-space operator disentangles quasilocalized and phononic modes in structural glasses
AU - Giannini, Julia A.
AU - Richard, David
AU - Manning, M. Lisa
AU - Lerner, Edan
N1 - Funding Information:
E.L. acknowledges support from the NWO (Vidi Grant No. 680-47-554/3259). J.A.G. and M.L.M. acknowledge support from the Simons Foundation through Grant No. 454947 and the National Science Foundation through Grant No. NSF-DMR-1951921. D.R. acknowledges support from the Simons Foundation for the “Cracking the Glass Problem Collaboration” Award No. 348126.
Funding Information:
Nederlandse Organisatie voor Wetenschappelijk Onderzoek Simons Foundation National Science Foundation
Publisher Copyright:
©2021 American Physical Society
PY - 2021/10
Y1 - 2021/10
N2 - The origin of several emergent mechanical and dynamical properties of structural glasses is often attributed to populations of localized structural instabilities, coined quasilocalized modes (QLMs). Under a restricted set of circumstances, glassy QLMs can be revealed by analyzing computer glasses' vibrational spectra in the harmonic approximation. However, this analysis has limitations due to system-size effects and hybridization processes with low-energy phononic excitations (plane waves) that are omnipresent in elastic solids. Here we overcome these limitations by exploring the spectrum of a linear operator defined on the space of particle interactions (bonds) in a disordered material. We find that this bond-force-response operator offers a different interpretation of QLMs in glasses and cleanly recovers some of their important statistical and structural features. The analysis presented here reveals the dependence of the number density (per frequency) and spatial extent of QLMs on material preparation protocol (annealing). Finally, we discuss future research directions and possible extensions of this work.
AB - The origin of several emergent mechanical and dynamical properties of structural glasses is often attributed to populations of localized structural instabilities, coined quasilocalized modes (QLMs). Under a restricted set of circumstances, glassy QLMs can be revealed by analyzing computer glasses' vibrational spectra in the harmonic approximation. However, this analysis has limitations due to system-size effects and hybridization processes with low-energy phononic excitations (plane waves) that are omnipresent in elastic solids. Here we overcome these limitations by exploring the spectrum of a linear operator defined on the space of particle interactions (bonds) in a disordered material. We find that this bond-force-response operator offers a different interpretation of QLMs in glasses and cleanly recovers some of their important statistical and structural features. The analysis presented here reveals the dependence of the number density (per frequency) and spatial extent of QLMs on material preparation protocol (annealing). Finally, we discuss future research directions and possible extensions of this work.
UR - http://www.scopus.com/inward/record.url?scp=85117682206&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85117682206&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.104.044905
DO - 10.1103/PhysRevE.104.044905
M3 - Article
C2 - 34781437
AN - SCOPUS:85117682206
SN - 1063-651X
VL - 104
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
M1 - A62
ER -