Geometry, mechanics and electronics of singular structures in graphene

Geometry, mechanics and electronics of singular structures in graphene

Geometry, mechanics and electronics of singular structures in graphene V. Pereira, H-Y Liang, A. Castro-Neto and L. Mahadevan,  Physical Review Letters , 105, 156603, 2010.
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Abstract

As the thinnest atomic membrane, graphene presents an opportunity to combine geometry, elasticity,
and electronics at the limits of their validity. We describe the transport and electronic structure in the
neighborhood of conical singularities, the elementary excitations of the ubiquitous wrinkled and crumpled
graphene. 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, and how the
geometry-generated pseudomagnetic and pseudoelectric fields might disrupt Landau quantization.