Quantum Hall States in Graphene from Strain-Induced Nonuniform Magnetic Fields

Abstract

We examine strain-induced quantized Landau levels in graphene. Specifically, arc-bend strains are found to cause nonuniform pseudomagnetic fields. Using an effective Dirac model which describes the low-energy physics around the nodal points, we show that several of the key qualitative properties of graphene in a strain-induced pseudomagnetic field are different compared to the case of an externally applied physical magnetic field. We discuss how using different strain strengths allows us to spatially separate the two components of the pseudospinor on the different sublattices of graphene. These results are checked against a tight-binding calculation on the graphene honeycomb lattice, which is found to exhibit all the features described. Furthermore, we find that introducing a Hubbard repulsion on the mean-field level induces a measurable polarization difference between the A and the B sublattices, which provides an independent experimental test of the theory presented here.

9 pages, 8 figures. Updated to version that appears in PRB

References in corpus (22)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• All-graphene integrated circuits via strain engineering
• Self-passivating edge reconstructions of graphene
• Generating quantizing pseudomagnetic fields by bending graphene ribbons
• Evidence for Graphene Edges Beyond Zigzag and Armchair
• Strain-induced pseudo-magnetic field for novel graphene electronics
• Giant magnetoresistance in ultra-small Graphene based devices
• Edge States and the Quantized Hall Effect in Graphene
• Strained graphene: tight-binding and density functional calculations
• Theory of Magnetic Edge States in Chiral Graphene Nanoribbons
• Magnetism of Finite Graphene Samples: Mean-Field Theory compared with Exact Diagonalization and Quantum Monte Carlo Simulation
• Peculiar Nature of Snake States in Graphene
• Hidden multiferroic order in graphene zigzag ribbons
• Snake States in Graphene p-n Junctions
• Charge and Spin Transport at the Quantum Hall Edge of Graphene
• Lattice-corrected strain-induced vector potentials in graphene
• Dirac boundary condition at the reconstructed zigzag edge of graphene
• Exploring the graphene edges with coherent electron focusing
• Transport in two-dimensional electron gas narrow channel with a magnetic field gradient

Cited by in corpus (13)

• Gauge fields from strain in graphene
• Understanding electron behavior in strained graphene as a reciprocal space distortion
• Theory of unconventional quantum Hall effect in strained graphene
• Propagating edge states in strained honeycomb lattices
• Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice
• Twist-induced magnon Landau levels in honeycomb magnets
• Edge magnetic properties of black phosphorene nanoribbons
• Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons
• Magnon Landau levels in the strained antiferromagnetic honeycomb nanoribbons
• Interaction-induced conductance from zero modes in a clean magnetic graphene waveguide
• Pseudo Landau levels, negative strain resistivity, and enhanced thermopower in twisted graphene nanoribbons
• Flat bands and superconductivity induced by periodic strain in monolayer graphene
• Pseudo-magnetic fields in square lattices