Flexural phonons in supported graphene: from pinning to localization
Abstract We identify graphene layer on a disordered substrate as a system where localization of phonons can be observed. Generally, observation of localization for scattering waves is not simple, because the Rayleigh scattering is inversely proportional to a high power of wavelength. The situation i...
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2018
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oai:doaj.org-article:b6d2384f950849eab05a2fdb0818445c2021-12-02T15:08:42ZFlexural phonons in supported graphene: from pinning to localization10.1038/s41598-018-34426-32045-2322https://doaj.org/article/b6d2384f950849eab05a2fdb0818445c2018-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-34426-3https://doaj.org/toc/2045-2322Abstract We identify graphene layer on a disordered substrate as a system where localization of phonons can be observed. Generally, observation of localization for scattering waves is not simple, because the Rayleigh scattering is inversely proportional to a high power of wavelength. The situation is radically different for the out of plane vibrations, so-called flexural phonons, scattered by pinning centers induced by a substrate. In this case, the scattering time for vanishing wave vector tends to a finite limit. One may, therefore, expect that physics of the flexural phonons exhibits features characteristic for electron localization in two dimensions, albeit without complications caused by the electron-electron interactions. We confirm this idea by calculating statistical properties of the Anderson localization of flexural phonons for a model of elastic sheet in the presence of the pinning centers. Finally, we discuss possible manifestations of the flexural phonons, including the localized ones, in the electronic thermal conductance.Wei L. Z. ZhaoKonstantin S. TikhonovAlexander M. Finkel’steinNature PortfolioarticleFlexural Phonons (FPs)Vanishing Wave VectorGraphene LayersInverse Participation Ratio (IPR)Electron Heat DiffusionMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-10 (2018) |
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Flexural Phonons (FPs) Vanishing Wave Vector Graphene Layers Inverse Participation Ratio (IPR) Electron Heat Diffusion Medicine R Science Q |
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Flexural Phonons (FPs) Vanishing Wave Vector Graphene Layers Inverse Participation Ratio (IPR) Electron Heat Diffusion Medicine R Science Q Wei L. Z. Zhao Konstantin S. Tikhonov Alexander M. Finkel’stein Flexural phonons in supported graphene: from pinning to localization |
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Abstract We identify graphene layer on a disordered substrate as a system where localization of phonons can be observed. Generally, observation of localization for scattering waves is not simple, because the Rayleigh scattering is inversely proportional to a high power of wavelength. The situation is radically different for the out of plane vibrations, so-called flexural phonons, scattered by pinning centers induced by a substrate. In this case, the scattering time for vanishing wave vector tends to a finite limit. One may, therefore, expect that physics of the flexural phonons exhibits features characteristic for electron localization in two dimensions, albeit without complications caused by the electron-electron interactions. We confirm this idea by calculating statistical properties of the Anderson localization of flexural phonons for a model of elastic sheet in the presence of the pinning centers. Finally, we discuss possible manifestations of the flexural phonons, including the localized ones, in the electronic thermal conductance. |
format |
article |
author |
Wei L. Z. Zhao Konstantin S. Tikhonov Alexander M. Finkel’stein |
author_facet |
Wei L. Z. Zhao Konstantin S. Tikhonov Alexander M. Finkel’stein |
author_sort |
Wei L. Z. Zhao |
title |
Flexural phonons in supported graphene: from pinning to localization |
title_short |
Flexural phonons in supported graphene: from pinning to localization |
title_full |
Flexural phonons in supported graphene: from pinning to localization |
title_fullStr |
Flexural phonons in supported graphene: from pinning to localization |
title_full_unstemmed |
Flexural phonons in supported graphene: from pinning to localization |
title_sort |
flexural phonons in supported graphene: from pinning to localization |
publisher |
Nature Portfolio |
publishDate |
2018 |
url |
https://doaj.org/article/b6d2384f950849eab05a2fdb0818445c |
work_keys_str_mv |
AT weilzzhao flexuralphononsinsupportedgraphenefrompinningtolocalization AT konstantinstikhonov flexuralphononsinsupportedgraphenefrompinningtolocalization AT alexandermfinkelstein flexuralphononsinsupportedgraphenefrompinningtolocalization |
_version_ |
1718388082764414976 |