Pseudomagnetic fields and triaxial strain in graphene

Abstract

Strain fields in graphene giving rise to pseudomagnetic fields have received much attention due to the possibility of mimicking real magnetic fields with magnitudes of greater than 100 Tesla. We examine systems with such strains confined to finite regions ("pseudomagnetic dots") and provide a transparent explanation for the characteristic sublattice polarization occurring in the presence of pseudomagnetic field. In particular, we focus on a triaxial strain leading to a constant field in the central region of the dot. This field causes the formation of pseudo Landau levels, where the zeroth order level shows significant differences compared to the corresponding level in a real magnetic field. Analytic arguments based on the Dirac model are employed to predict the sublattice and valley dependencies of the density of states in these systems. Numerical tight binding calculations of single pseudomagnetic dots in extended graphene sheets confirm these predictions, and are also used to study the effect of the rotating the strain direction and varying the size of the pseudomagnetic dot.

References in corpus (22)

• The electronic properties of graphene
• A tight-binding approach to uniaxial strain in graphene
• Ripple Texturing of Suspended Graphene Atomic Membranes
• Andreev reflection and Klein tunneling in graphene
• Graphene as an electronic membrane
• Geometry, mechanics and electronics of singular structures and wrinkles in graphene
• Gaps tunable by electrostatic gates in strained graphene
• Optical Properties of Strained Graphene
• Wave packet dynamics and valley filter in strained graphene
• Observation of Valley-polarized Landau Levels in Strained Graphene
• Gaussian deformations in graphene ribbons: flowers and confinement
• Electronic structure of graphene hexagonal flake subjected to triaxial stress
• Quasi-bound states of Schrodinger and Dirac electrons in magnetic quantum dot
• Pseudomagnetic fields in graphene nanobubbles of constrained geometry: A molecular dynamics study
• Local sublattice symmetry breaking for graphene with a centro-symmetric deformation
• Mechanical Control of Graphene on Engineered Pyramidal Strain Arrays
• Uniformity of the pseudomagnetic field in strained graphene
• Patched Green's function techniques for two dimensional systems: Electronic behaviour of bubbles and perforations in graphene
• Conductance signatures of electron confinement induced by strained nanobubbles in graphene
• Designing electronic properties of two-dimensional crystals through optimization of deformations
• Degeneracy doubling and sublattice polarization in strain-induced pseudo-Landau levels
• Bubbles in graphene - a computational study

Cited by in corpus (48)

• Evidence of Flat Bands and Correlated States in Buckled Graphene Superlattices
• Graphene Nanobubbles as Valley Filters and Beamsplitters
• Tuning the pseudospin polarization of graphene by a pseudo-magnetic field
• Valley Polarization and Inversion in Strained Graphene via Pseudo-Landau Levels, Valley Splitting of Real Landau Levels and Confined States
• Room temperature strain-induced Landau levels in graphene on a wafer-scale platform
• Recent progresses of quantum confinement in graphene quantum dots
• Strained fold assisted transport in graphene systems
• Valley-Polarized Quantum Transport Generated by Gauge Fields in Graphene
• Dispersive Landau levels and valley currents in strained graphene nanoribbons
• Local versus extended deformed graphene geometries for valley filtering
• Theory of tunable flux lattices in the homobilayer moiré of twisted and uniformly strained transition metal dichalcogenides
• Valley Hall Effect and Non-Local Resistance in Locally Gapped Graphene
• Probing the nanoscale origin of strain and doping in graphene-hBN heterostructures
• Low-energy theory for strained graphene: an approach up to second-order in the strain tensor
• Magnetic field-tunable valley-contrasting pseudomagnetic confinement in graphene
• Electron dynamics in strained graphene
• Phase-space representation of Landau and electron coherent states for uniaxially strained graphene
• Layer pseudospin dynamics and genuine non-Abelian Berry phase in inhomogeneously strained moiré pattern
• Valley filtering in strain-induced $\alpha$-${\mathcal{T}}_3$ quantum dots
• Straintronics beyond homogeneous deformation
• Tuning transport properties on graphene multi-terminal structures by mechanical deformations
• Strained graphene Hall bar
• Tight-binding Piezoelectric Theory and Electromechanical Coupling Correlations for Transition Metal Dichalcogenide Monolayers
• Phase diagrams and edge-state transitions in graphene with spin-orbit coupling and magnetic and pseudomagnetic fields
• Valley current generation using biased bilayer graphene dots
• Reverse strain-induced snake states in graphene nanoribbons
• Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons
• Inverse Design of a Graphene-Based Quantum Transducer via Neuroevolution
• Magnon Landau levels in the strained antiferromagnetic honeycomb nanoribbons
• Topological phase-diagram of time-periodically rippled zigzag graphene nanoribbons
• Gap engineering in strained fold-like armchair graphene nanoribbons
• Landau levels in curved space realized in strained graphene
• Quantum Monte Carlo study of honeycomb antiferromagnets under a triaxial strain
• Strongly Absorbing Nanoscale Infrared Domains within Graphene Bubbles
• Triaxially strained suspended graphene for large-area pseudo-magnetic fields
• Absence of edge states at armchair edges in inhomogeneously strained graphene under a pseudomagnetic field
• Strain tuning of highly frustrated magnets: Order and disorder in the distorted kagome Heisenberg antiferromagnet
• Lévy-Leblond fermions on the wormhole
• Density of states of Dirac-Landau levels in a gapped graphene monolayer under strain gradient
• Pseudo Landau levels, negative strain resistivity, and enhanced thermopower in twisted graphene nanoribbons
• Gapless state of interacting Majorana fermions in a strain-induced Landau level
• Quantum Nonlinear Acoustic Hall Effect and Inverse Acoustic Faraday Effect in Dirac Insulators
• Deformation induced pseudo-magnetic fields in complex carbon architectures
• Spin-dependent transmission in curved graphene superlattice
• Strain-induced Landau levels of Majorana fermions in an anisotropically interacting Kitaev model on a honeycomb lattice
• Electron localization in periodically strained graphene
• Scalable tight-binding model for strained graphene
• Flux-induced midgap states between strain-engineered flat bands