Nano-engineered non-uniform strain in graphene

Abstract

Recent experiments showed that non-uniform strain can be produced by depositing graphene over pillars. We employed atomistic calculations to study the non-uniform strain and the induced pseudo-magnetic field up to 5000 Tesla in graphene on top of nano-pillars. By decreasing the distance between the nano-pillars a complex distribution for the pseudo-magnetic field can be generated. Furthermore, we performed tight-binding calculations of the local density of states (LDOS) by using the relaxed graphene configuration obtained from the atomistic calculations. We find that the quasiparticle LDOS are strongly modified near the pillars, both at low energies showing sub-lattice polarization, and at high energies showing shifts of the van Hove singularity. Our study shows that changing the specific pattern of the nano-pillars allows us to create a desired shape of the pseudo-magnetic field profile while the LDOS maps provide an input for experimental verifications by scanning tunneling microscopy.

5 pages, 2 figures

References in corpus (10)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Uniaxial Strain in Graphene by Raman Spectroscopy: G peak splitting, Gruneisen Parameters and Sample Orientation
• A tight-binding approach to uniaxial strain in graphene
• The Kernel Polynomial Method
• Midgap states and charge inhomogeneities in corrugated graphene
• Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity
• Metal-to-insulator transition and electron-hole puddle formation in disordered graphene nanoribbons
• Strain engineered graphene using a nanostructured substrate: II Pseudo-magnetic fields
• Superconducting proximity effect in graphene under inhomogeneous strain

Cited by in corpus (39)

• Tight-binding model and direct-gap/indirect-gap transition in single-layer and multi-layer MoS${}_2$
• Graphene Nanobubbles as Valley Filters and Beamsplitters
• Visualizing Strain-induced Pseudo magnetic Fields in Graphene through an hBN Magnifying Glass
• Strain superlattices and macroscale suspension of Graphene induced by corrugated substrates
• Pseudo magnetic field in strained graphene: revisited
• Indirect Exchange and Ruderman-Kittel-Kasuya-Yosida (RKKY) Interactions in Magnetically-Doped Graphene
• Current flow paths in deformed graphene: from quantum transport to classical trajectories in curved space
• Pseudomagnetic fields and triaxial strain in graphene
• Pseudo-magnetic field-induced ultra-slow carrier dynamics in periodically strained graphene
• Electronic structure of graphene hexagonal flake subjected to triaxial stress
• Pseudomagnetic fields in graphene nanobubbles of constrained geometry: A molecular dynamics study
• Pseudo-magnetic field in curved graphene
• Graphene's morphology and electronic properties from discrete differential geometry
• Strain-engineering of graphene's electronic structure beyond continuum elasticity
• Graphene wrinkling induced by monodisperse nanoparticles: facile control and quantification
• Princess and the Pea at the nanoscale: Wrinkling and delamination of graphene on nanoparticles
• Preparing local strain patterns in graphene by atomic force microscope based indentation
• Topological flat bands in strained graphene: substrate engineering and optical control
• Quantitative Chemistry and the Discrete Geometry of Conformal Atom-Thin Crystals
• Graphene on hexagonal lattice substrate: Stress and Pseudo-magnetic field
• Formation of wrinkles on graphene induced by nanoparticles: atomic force microscopy study
• Valley notch filter in a graphene strain superlattice: Green's function and machine learning approach
• Strain-induced modulation of magnetic interactions in graphene
• Graphene on graphene antidot lattices: Electronic and transport properties
• Designing electronic properties of two-dimensional crystals through optimization of deformations
• Membrane amplitude and triaxial stress in twisted bilayer graphene deciphered using first-principles directed elasticity theory and scanning tunneling microscopy
• Avoidance and Coalescence of Delamination Patterns
• Strain field in graphene induced by nanopillar mesh
• Electronic transport in bent carbon nanotubes
• Numerical quasi-conformal transformations for electron dynamics on strained graphene surfaces
• Emergence of strain-induced moiré patterns and pseudo-magnetic field confined states in graphene
• Using magnetic stripes to stabilize superfluidity in electron-hole double monolayer graphene
• Disordered graphene Josephson junctions
• Elastic Screening of Pseudogauge Fields in Graphene
• Large displacement strain theory and its application to graphene
• Electronic transport in a two-dimensional superlattice engineered via self-assembled nanostructures
• Topological Superfluid Responses of Superconducting Dirac Semimetals
• Superfluid Stiffness and Josephson Quantum Capacitance: Adiabatic Approach and Topological Effects
• Boron Nitride Monolayer: A Strain-Tunable Nanosensor