Affiliation:
1. School of Physics and Optoelectronic Engineering, Anhui University 1 , Hefei 230601, China
2. Department of Chemistry, Colorado State University 2 , Fort Collins, Colorado 80523, USA
Abstract
Low-frequency vibrational harmonic modes of glasses are frequently used to rationalize their universal low-temperature properties. One well studied feature is the excess low-frequency density of states over the Debye model prediction. Here, we examine the system size dependence of the density of states for two-dimensional glasses. For systems of fewer than 100 particles, the density of states scales with the system size as if all the modes were plane-wave-like. However, for systems greater than 100 particles, we find a different system-size scaling of the cumulative density of states below the first transverse sound mode frequency, which can be derived from the assumption that these modes are quasi-localized. Moreover, for systems greater than 100 particles, we find that the cumulative density of states scales with the frequency as a power law with the exponent that leads to the exponent β = 3.5 for the density of states. For systems whose sizes were investigated, we do not see a size-dependence of exponent β.
Funder
National Science Foundation
National Natural Science Foundation of China
Anhui Projects
Hefei City
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy
Cited by
4 articles.
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