The local density of states in the presence of impurity scattering in graphene at high magnetic field

Abstract

We study the Fourier transform of the local density of states (LDOS) in graphene in the presence of a single impurity at high magnetic field. We find that the most pronounced features occur for energies of the STM tip matching the Landau level energies. The Fourier transform of the LDOS shows regions of high intensity centered around the center and the corners of the Brillouin zone (BZ). The radial intensity dependence of these features is determined by the form of the wavefunctions of the electrons in the quantum Hall regime. Moreover, some of these regions break rotational symmetry, and their angular dependence is determined by the chirality of the graphene electrons. For the zeroth Landau level, the ratio between the features at the corners and center of the BZ depends on the nature of the disorder: it goes to zero for potential disorder, and is finite for hopping disorder. We believe that a comparison between our analysis and experiments will help understand the form of the quasiparticle wavefunction, as well as the nature of disorder in graphene.

12 pages, 4 figures

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Cited by in corpus (4)

• Screening Charged Impurities and Lifting the Orbital Degeneracy in Graphene by Populating Landau Levels
• High magnetic field theory for the local density of states in graphene with smooth arbitrary potential landscapes
• Persistent Friedel oscillations in Graphene due to a weak magnetic field
• Theoretical analysis of the density of states of graphene at high magnetic field using Haldane pseudopotentials