Cargando…

Flexural phonons in supported graphene: from pinning to localization

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 radical...

Descripción completa

Detalles Bibliográficos
Autores principales: Zhao, Wei L. Z., Tikhonov, Konstantin S., Finkel’stein, Alexander M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6215001/
https://www.ncbi.nlm.nih.gov/pubmed/30389980
http://dx.doi.org/10.1038/s41598-018-34426-3
_version_ 1783368056277303296
author Zhao, Wei L. Z.
Tikhonov, Konstantin S.
Finkel’stein, Alexander M.
author_facet Zhao, Wei L. Z.
Tikhonov, Konstantin S.
Finkel’stein, Alexander M.
author_sort Zhao, Wei L. Z.
collection PubMed
description 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 Online
Article
Text
id pubmed-6215001
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-62150012018-11-06 Flexural phonons in supported graphene: from pinning to localization Zhao, Wei L. Z. Tikhonov, Konstantin S. Finkel’stein, Alexander M. Sci Rep Article 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. Nature Publishing Group UK 2018-11-02 /pmc/articles/PMC6215001/ /pubmed/30389980 http://dx.doi.org/10.1038/s41598-018-34426-3 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Zhao, Wei L. Z.
Tikhonov, Konstantin S.
Finkel’stein, Alexander M.
Flexural phonons in supported graphene: from pinning to localization
title 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_short Flexural phonons in supported graphene: from pinning to localization
title_sort flexural phonons in supported graphene: from pinning to localization
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6215001/
https://www.ncbi.nlm.nih.gov/pubmed/30389980
http://dx.doi.org/10.1038/s41598-018-34426-3
work_keys_str_mv AT zhaoweilz flexuralphononsinsupportedgraphenefrompinningtolocalization
AT tikhonovkonstantins flexuralphononsinsupportedgraphenefrompinningtolocalization
AT finkelsteinalexanderm flexuralphononsinsupportedgraphenefrompinningtolocalization