Flexural phonons in supported graphene: from pinning to localization

Wei L.Z. Zhao, Konstantin S. Tikhonov, Alexander M. Finkel’stein

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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.

Original languageEnglish
Article number16256
JournalScientific Reports
Issue number1
Publication statusPublished - 1 Dec 2018


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