Localization and circulating currents in curved graphene devices

Abstract

We calculate the energy spectrum and eigenstates of a graphene sheet which contains a circular deformation. Using time-independent perturbation theory with the ratio of the height and width of the deformation as the small parameter, we find that due to the curvature the wavefunctions for the various states acquire unique angular asymmetry. We demonstrate that the pseudo-magnetic fields induced by the curvature result in circulating probability currents. These circulating currents in turn produce local \textit{real} magnetic fields $\sim$ 100 $\mu$T which can be measured using current technology.

4 pages, 3 figures

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• Recent progresses of quantum confinement in graphene quantum dots
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• Strained fold assisted transport in graphene systems
• Gaussian deformations in graphene ribbons: flowers and confinement
• Electronic states in a graphene flake strained by a Gaussian bump
• Graphene's morphology and electronic properties from discrete differential geometry
• Local sublattice symmetry breaking for graphene with a centro-symmetric deformation
• Large-area nanoengineering of graphene corrugations for visible-frequency graphene plasmons
• Currents and pseudomagnetic fields in strained graphene rings
• Large intravalley scattering due to pseudo-magnetic fields in crumpled graphene
• Straintronics beyond homogeneous deformation
• Tuning transport properties on graphene multi-terminal structures by mechanical deformations
• Strained graphene Hall bar
• Note on Hawking-Unruh effects in graphene
• Gap engineering in strained fold-like armchair graphene nanoribbons
• Electronic transport in bent carbon nanotubes
• Disordered graphene Josephson junctions
• The influence of Gaussian strain on sublattice selectivity of impurities in graphene
• SUSY design of smooth quantum rings in graphene
• Deformation induced pseudo-magnetic fields in complex carbon architectures