Critical radius and temperature for buckling in graphene Articles uri icon

publication date

  • marzo 2016

issue

  • 11

volume

  • 93

international standard serial number (ISSN)

  • 2469-9950

electronic international standard serial number (EISSN)

  • 2469-9969

abstract

  • In 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.

keywords

  • suspended graphene
    atomic scale
    membranes
    resonators
    sheets