The shape of disorder broadened Landau subbands in graphene

Abstract

Density of states (DOS) of graphene under a high uniform magnetic field and white-noise random potential is numerically calculated. The disorder broadened zero-energy Landau band has a Gaussian shape whose width is proportional to the random potential variance and the square root of magnetic field. Wegner-type calculation is used to justify the results.

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• Efficient linear scaling method for computing the thermal conductivity of disordered materials
• Three-dimensional quantum Hall effect and magnetothermoelectric properties in Weyl semimetals
• Correlated random hopping disorder in graphene at high magnetic fields: Landau level broadening and localization properties
• Type-I and type-II topological nodal superconductors with $s$-wave interaction
• High-energy Landau levels in graphene beyond nearest-neighbor hopping processes: Corrections to the effective Dirac Hamiltonian
• Gap opening in the zeroth Landau level in gapped graphene: Pseudo-Zeeman splitting in an angular magnetic field
• Disorder-Induced Phase Transitions in Three-Dimensional Chiral Second-Order Topological Insulator
• Topological Transition of Graphene from Quantum Hall Metal to Quantum Hall Insulator at $\nu =0$
• Shape of the zeroth Landau level in graphene with non-diagonal disorder