Experimental evidence for the $ω^4$ tail of the nonphononic spectra of glasses

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Hauptverfasser: Moriel, Avraham, Lerner, Edan, Bouchbinder, Eran
Format: Preprint
Veröffentlicht: 2024
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author Moriel, Avraham
Lerner, Edan
Bouchbinder, Eran
author_facet Moriel, Avraham
Lerner, Edan
Bouchbinder, Eran
contents It is now established that glasses feature low-frequency, nonphononic excitations, in addition to phonons that follow Debye's vibrational density of state (VDoS). Extensive computer studies demonstrated that these nonphononic, glassy excitations follow a universal non-Debye VDoS ${\cal D}_{\rm G}(ω)\!\sim\!ω^4$, at low frequencies $ω$. Yet, due to intrinsic difficulties in disentangling ${\cal D}_{\rm G}(ω)$ from the total VDoS ${\cal D}(ω)$, which is experimentally accessible through various scattering techniques, the $ω^4$ tail of ${\cal D}_{\rm G}(ω)$ lacked direct experimental support. We develop a procedure to extract ${\cal D}_{\rm G}(ω)$ from the measured ${\cal D}(ω)$, based on recent advances in understanding low-frequency excitations in glasses, and apply it to available datasets for diverse glasses. The resulting analysis shows that the $ω^4$ tail of the nonphononic vibrational spectra of glasses is nontrivially consistent with a broad range of experimental observations. It also further supports that ${\cal D}_{\rm G}(ω)$ makes an additive contribution to ${\cal D}(ω)$.
format Preprint
id arxiv_https___arxiv_org_abs_2404_16996
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Experimental evidence for the $ω^4$ tail of the nonphononic spectra of glasses
Moriel, Avraham
Lerner, Edan
Bouchbinder, Eran
Disordered Systems and Neural Networks
Materials Science
Soft Condensed Matter
It is now established that glasses feature low-frequency, nonphononic excitations, in addition to phonons that follow Debye's vibrational density of state (VDoS). Extensive computer studies demonstrated that these nonphononic, glassy excitations follow a universal non-Debye VDoS ${\cal D}_{\rm G}(ω)\!\sim\!ω^4$, at low frequencies $ω$. Yet, due to intrinsic difficulties in disentangling ${\cal D}_{\rm G}(ω)$ from the total VDoS ${\cal D}(ω)$, which is experimentally accessible through various scattering techniques, the $ω^4$ tail of ${\cal D}_{\rm G}(ω)$ lacked direct experimental support. We develop a procedure to extract ${\cal D}_{\rm G}(ω)$ from the measured ${\cal D}(ω)$, based on recent advances in understanding low-frequency excitations in glasses, and apply it to available datasets for diverse glasses. The resulting analysis shows that the $ω^4$ tail of the nonphononic vibrational spectra of glasses is nontrivially consistent with a broad range of experimental observations. It also further supports that ${\cal D}_{\rm G}(ω)$ makes an additive contribution to ${\cal D}(ω)$.
title Experimental evidence for the $ω^4$ tail of the nonphononic spectra of glasses
topic Disordered Systems and Neural Networks
Materials Science
Soft Condensed Matter
url https://arxiv.org/abs/2404.16996