Strain engineered graphene using a nanostructured substrate: II Pseudo-magnetic fields

Abstract

The strain induced pseudo-magnetic field in supported graphene deposited on top of a nanostructured substrate is investigated by using atomistic simulations. Step, elongated trench, one dimensional barrier, spherical bubbles, Gaussian bump and Gaussian depression are considered as support structures for graphene. From the obtained optimum configurations we found very strong induced pseudo-magnetic fields which can reach up to $\sim$ 1000\,T due to the strain-induced deformations in the supported graphene. Different magnetic confinements with controllable geometries are found by tuning the pattern of the substrate. The resulting induced magnetic fields for graphene on top of a step, barrier and trench are calculated. In contrast to the step and trench the middle part of graphene on top of a barrier has zero pseudo-magnetic field. This study provides a theoretical background for designing magnetic structures in graphene by nanostructuring substrates. We found that altering the radial symmetry of the deformation, changes the six-fold symmetry of the induced pseudo-magnetic field.

7 pages, 9 figures, To appear in Phys. Rev. B

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• Electronic structure of graphene hexagonal flake subjected to triaxial stress
• Pseudomagnetic fields in graphene nanobubbles of constrained geometry: A molecular dynamics study
• Strain-engineering of graphene's electronic structure beyond continuum elasticity
• Patched Green's function techniques for two dimensional systems: Electronic behaviour of bubbles and perforations in graphene
• Graphene on hexagonal lattice substrate: Stress and Pseudo-magnetic field
• Designing electronic properties of two-dimensional crystals through optimization of deformations
• Straintronics beyond homogeneous deformation
• Membrane amplitude and triaxial stress in twisted bilayer graphene deciphered using first-principles directed elasticity theory and scanning tunneling microscopy
• Bilayer Graphene Quantum Dot Defined by Topgates
• Large displacement strain theory and its application to graphene