Flexural phonons in supported graphene: from pinning to localization

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

doi:10.1038/s41598-018-34426-3

Title: Flexural phonons in supported graphene: from pinning to localization

Journal Article · Fri Nov 02 00:00:00 EDT 2018 · Scientific Reports

DOI:https://doi.org/10.1038/s41598-018-34426-3· OSTI ID:1612099

^[1];

^[2]; Finkel’stein, Alexander M. ^[3]

Texas A & M Univ., College Station, TX (United States)
L. D. Landau Inst. for Theoretical Physics, Moscow (Russian Federation); Skolkovo Institute of Science and Technology (Russian Federation)
Texas A & M Univ., College Station, TX (United States); Weizmann Inst. of Science, Rehovot (Israel)

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.

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Research Organization:: Texas A & M Univ., College Station, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0014154

OSTI ID:: 1612099

Journal Information:: Scientific Reports, Vol. 8, Issue 1; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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