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dc.contributor.authorAseginolaza, Unai
dc.contributor.otherDiego, Josu
dc.contributor.otherCea, Tommaso
dc.contributor.otherBianco, Raffaello
dc.contributor.otherMonacelli, Lorenzo
dc.contributor.otherLibbi, Francesco
dc.contributor.otherCalandra, Matteo
dc.contributor.otherBergara, Aitor
dc.contributor.otherMauri, Francesco
dc.contributor.otherErrea, Ion
dc.date.accessioned2024-06-11T11:07:49Z
dc.date.available2024-06-11T11:07:49Z
dc.date.issued2024
dc.identifier.issn1745-2473en
dc.identifier.otherhttps://katalogoa.mondragon.edu/janium-bin/janium_login_opac.pl?find&ficha_no=177454en
dc.identifier.urihttps://hdl.handle.net/20.500.11984/6518
dc.description.abstractMany of the applications of graphene rely on its uneven stiffness and high thermal conductivity, but the mechanical properties of graphene—and, in general, of all two-dimensional materials—are still not fully understood. Harmonic theory predicts a quadratic dispersion for the out-of-plane flexural acoustic vibrational mode, which leads to the unphysical result that long-wavelength in-plane acoustic modes decay before vibrating for one period, preventing the propagation of sound. The robustness of quadratic dispersion has been questioned by arguing that the anharmonic phonon–phonon interaction linearizes it. However, this implies a divergent bending rigidity in the long-wavelength regime. Here we show that rotational invariance protects the quadratic flexural dispersion against phonon–phonon interactions, and consequently, the bending stiffness is non-divergent irrespective of the temperature. By including non-perturbative anharmonic effects in our calculations, we find that sound propagation coexists with a quadratic dispersion. We also show that the temperature dependence of the height fluctuations of the membrane, known as ripples, is fully determined by thermal or quantum fluctuations, but without the anharmonic suppression of their amplitude previously assumed. These conclusions should hold for all two-dimensional materials.en
dc.language.isoengen
dc.publisherSpringer Natureen
dc.rights© 2024 Springer Natureen
dc.titleBending rigidity, sound propagation and ripples in flat grapheneen
dcterms.accessRightshttp://purl.org/coar/access_right/c_f1cfen
dcterms.sourceNature Physicsen
local.contributor.groupAnálisis de datos y ciberseguridades
local.description.peerreviewedtrueen
local.identifier.doihttps://doi.org/10.1038/s41567-024-02441-zen
local.embargo.enddate2024-11-30
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oaire.format.mimetypeapplication/pdfen
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