Geometry, mechanics and electronics of singular structures and wrinkles in graphene

Abstract

As the thinnest atomic membrane, graphene presents an opportunity to combine geometry, elasticity and electronics at the limits of their validity. The availability of reliable atomistic potentials for graphene allows unprecedented precise simulations of the mechanical response of atomic membranes. Here we describe the transport and electronic structure in the neighbourhood of conical singularities, the elementary excitations of the ubiquitous wrinkled and crumpled graphene that occur in non-epitaxial suspended samples where shear stresses are unavoidable. We use a combination of atomistic mechanical simulations, analytical geometry and transport calculations in curved graphene, and exact diagonalization of the electronic spectrum to calculate the effects of geometry on electronic structure, transport and mobility in suspended samples. We also point out how the geometry-generated pseudo-magnetic/electric fields might disrupt Landau quantization under a magnetic field.

References in corpus (13)

• The electronic properties of graphene
• Ultrahigh electron mobility in suspended graphene
• The structure of suspended graphene sheets
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• Strained graphene: tight-binding and density functional calculations
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Cited by in corpus (2)

• Wrinkling hierarchy in constrained thin sheets from suspended graphene to curtains
• Anisotropic surface tension of buckled fluid membrane