Geometry, Mechanics, and Electronics of Singular Structures and Wrinkles in Graphene
Vitor M. PereiraDepartment of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA. [email protected]A. H. Castro NetoDepartment of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USAHaiyi LiangDepartment of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USAL. MahadevanDepartment of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA
2010en
ABI
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.
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