Landau level broadening in graphene with long-range disorder -- Robustness of the n=0 level

Abstract

Broadening of the Landau levels in graphene and the associated quantum Hall plateau-to-plateau transition are investigated numerically. For correlated bond disorder, the graphene-specific n=0 Landau level of the Dirac fermions becomes anomalously sharp accompanied by the Hall transition exhibiting a fixed-point-like criticality. Similarly anomalous behavior for the n=0 Landau level is also shown to occur in correlated random magnetic fields, which suggests that the anomaly is generic to disorders that preserve the chiral symmetry.

4 pages, 5 figures, submitted to EP2DS-18 Conference proceedings

References in corpus (10)

• The electronic properties of graphene
• The structure of suspended graphene sheets
• Anderson Transitions
• Intrinsic and extrinsic corrugation of monolayer graphene deposited on SiO2
• Quantum-Hall activation gaps in graphene
• Theory of Anomalous Quantum Hall Effects in Graphene
• Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field
• Quantum Hall plateau transition in graphene with spatially correlated random hopping
• Unconventional conductance plateau transitions in quantum Hall wires with spatially correlated disorder
• Conductance plateau transitions in quantum Hall wires with spatially correlated random magnetic fields

Cited by in corpus (7)

• Generalized Chiral Symmetry and Stability of Zero Modes for Tilted Dirac Cones
• Correlated random hopping disorder in graphene at high magnetic fields: Landau level broadening and localization properties
• Topologically protected Landau levels in bilayer graphene in finite electric fields
• Lattice realization of the generalized chiral symmetry in two dimensions
• Anomalous criticality in the quantum Hall transition at $n=0$ Landau level of graphene with chiral-symmetric disorders
• Stability of zero-mode Landau levels in bilayer graphene against disorder in the presence of the trigonal warping
• Boundary-condition-assisted chiral-symmetry protection of the zeroth Landau level on a two-dimensional lattice