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.
journal_name
Sci Repjournal_title
Scientific reportsauthors
Zhao WLZ,Tikhonov KS,Finkel'stein AMdoi
10.1038/s41598-018-34426-3subject
Has Abstractpub_date
2018-11-02 00:00:00pages
16256issue
1issn
2045-2322pii
10.1038/s41598-018-34426-3journal_volume
8pub_type
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