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Critical radius and temperature for buckling in graphene

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dc.affiliation.institutoUC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbanyes
dc.contributor.authorLópez Bonilla, Luis Francisco
dc.contributor.authorRuiz-García, Miguel
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.contributor.funderMinisterio de Educación, Cultura y Deporte (España)es
dc.date.accessioned2023-10-26T11:40:53Z
dc.date.available2023-10-26T11:40:53Z
dc.date.issued2016-03-15
dc.description.abstractIn this work, we find an analytical flat-membrane solution to the saddle point equations, derived by F. Guinea et al. [Phys. Rev. B 89, 125428 (2014)], for the case of a suspended graphene membrane of circular shape. We also find how different buckled membrane solutions bifurcate from the flat membrane at critical temperatures and membrane radii. The saddle point equations take into account electron-phonon coupling and this coupling provides a residual stress even for a flat graphene layer. Below a critical temperature (which is exceedingly high for an infinite layer) or above a critical size that depend on boundary conditions, different buckling modes that may be the germ of rippling appear. Our results provide the opportunity to develop new feasible experiments dealing with buckling in small suspended graphene membranes that could verify them. These experiments may also be used to fit the phonon-electron coupling constant or the bending energy.en
dc.format.extent9
dc.identifier.bibliographicCitationBonilla, L. L., & Ruiz-García, M. (2016). Critical radius and temperature for buckling in graphene. Physical Review B, 93(11), 115407.en
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.93.115407
dc.identifier.issn2469-9950
dc.identifier.publicationfirstpage115407-1
dc.identifier.publicationissue11
dc.identifier.publicationlastpage115407-9
dc.identifier.publicationtitlePhysical Review Ben
dc.identifier.publicationvolume93
dc.identifier.urihttps://hdl.handle.net/10016/38689
dc.identifier.uxxiAR/0000017819
dc.language.isoengen
dc.publisherAPSen
dc.relation.projectIDGobierno de España. FIS2011-28838-C02-01es
dc.relation.projectIDGobierno de España. MTM2014-56948-C2-2-Pes
dc.relation.projectIDGobierno de España. FPU13/02971es
dc.rights© 2016 American Physical Societyen
dc.rights.accessRightsopen accessen
dc.subject.ecienciaFísicaes
dc.subject.ecienciaIngeniería Industriales
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaMatemáticases
dc.subject.ecienciaMaterialeses
dc.subject.otherSuspended grapheneen
dc.subject.otherAtomic scaleen
dc.subject.otherMembranesen
dc.subject.otherResonatorsen
dc.subject.otherSheetsen
dc.titleCritical radius and temperature for buckling in grapheneen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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