首页|Density of excess modes below the first phonon mode in four-dimensional glasses

Density of excess modes below the first phonon mode in four-dimensional glasses

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Glasses are known to possess low-frequency excess modes beyond the Debye prediction.For decades,it has been assumed that evolution of low-frequency density of excess modes D(ω)with frequency ω follows a power-law scaling:D(ω)～ωγ.However,it remains debated on the value of γ at low frequencies below the first phonon-like mode in finite-size glasses.Early simulation studies reported γ=4 at low frequencies in two-(2D),three-(3D),and four-dimensional(4D)glasses,whereas recent observations in 2D and 3D glasses suggested γ=3.5 in a lower-frequency regime.It is uncertain whether the low-frequency scaling of D(ω)～ω3 5 could be generalized to 4D glasses.Here,we conduct numerical simulation studies of excess modes at frequencies below the first phonon-like mode in 4D model glasses.It is found that the system size dependence of D(ω)below the first phonon-like mode varies with spatial dimensions:D(ω)increases in 2D glasses but decreases in 3D and 4D glasses as the system size increases.Furthermore,we demonstrate that the ω3.5 scaling,rather than the ω4 scaling,works in the lowest-frequency regime accessed in 4D glasses,regardless of interaction potentials and system sizes examined.Therefore,our findings in 4D glasses,combined with previous results in 2D and 3D glasses,suggest a common low-frequency scaling of D(ω)～ω3.5 below the first phonon-like mode across different spatial dimensions,which would inspire further theoretical studies.

vibrational density of statesexcess modesfour-dimensional glassesscalingcomputer simulation

王利近、胥鼎、张世允

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School of Physics and Optoelectronic Engineering,Anhui University,Hefei 230601,China

Department of Physics,University of Science and Technology of China,Hefei 230026,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaAnhui ProjectsAnhui ProjectsAnhui ProjectsHefei CityHefei Advanced Computing Center,Beijing Super Cloud Computing CenterHigh-Performance Computing Platform of Anhui University

12374202120040012022AH020009S020218016Z010118169Z020132009

2024

10.1088/1674-1056/ad3dd1

中国物理B(英文版)
中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI
影响因子：0.995
ISSN：1674-1056
年,卷(期)：2024.33(7)
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