RT Journal Article
T1 Critical radius and temperature for buckling in graphene
A1 López Bonilla, Luis Francisco
A1 Ruiz-García, Miguel
AB 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.
PB APS
SN 2469-9950
YR 2016
FD 2016-03-15
LK https://hdl.handle.net/10016/38689
UL https://hdl.handle.net/10016/38689
LA eng
DS e-Archivo
RD 3 jul. 2024