Journal
PHYSICAL REVIEW B
Volume 79, Issue 11, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.79.113411
Keywords
buckling; doping profiles; elastic moduli; elastic waves; electrical resistivity; electronic structure; graphene; membranes; mesoscopic systems
Funding
- DOE [DEFG02-00ER41132]
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Graphene is a realization of an uncommon class of materials-electronic crystalline membranes. We study the interplay between the free electrons and the two-dimensional crystal and find that it induces a substantial effect on the elastic structure of the membrane. For the hole-doped membrane, in particular, we predict a spontaneous buckling. In addition, an attenuation of elastic waves is expected due to the effect of corrugations on the bulk modulus. These discoveries have a considerable magnitude in graphene, affecting both its mesoscopic structure and its electrical resistivity, which has an inherent asymmetry between hole- and electron-doped graphene.
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