Theory of the spontaneous buckling of doped graphene

Details Theory of the spontaneous buckling of doped graphene Theory of the spontaneous buckling of doped graphene

2008-10-06

arxiv.org/abs/0810.1062v4

Phys.Rev.B79:113411,2009

Physics

Condensed Matter

Materials Science

Accepted for publication in PRB

Scientific paper

10.1103/PhysRevB.79.113411

Graphene is a realization of an esoteric 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, 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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