Theoretical analysis of the density of states of graphene at high magnetic field using Haldane pseudopotentials

Abstract

We study the density of states in graphene at high magnetic field, when the physics is dominated by strong correlations between electrons. In particular we use the method of Haldane pseudopotentials to focus on almost empty or almost filled Landau levels. We find that, besides the usual Landau level peaks, additional peaks ("sashes") appear in the spectrum. The energies of these peaks are determined by the strength of Haldane's pseudopotentials, but as opposed to the usual two-dimensional gas, when there is a one-to-one correspondence between a Haldane pseudopotential and a peak in the spectrum, the energy of each peak is determined in general by a combination of more than one pseudopotential values. An eventual measure of these peak in the density of states spectrum of graphene would allow one to determine the value of the pseudopotentials in graphene, and thus test the strength of the interactions in this system.

9 pages, 1 table

References in corpus (13)

• The electronic properties of graphene
• Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
• Suspended Graphene: a bridge to the Dirac point
• Temperature dependent transport in suspended graphene
• Colloquium: The transport properties of graphene: An introduction
• Scanning Tunneling Spectroscopy of Graphene on Graphite
• Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
• Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
• Electron interactions in graphene in a strong magnetic field
• The Quantum Hall Transition in Real Space: From Localized to Extended States
• Effect of a single impurity on the local density of states in monolayer and bilayer graphene
• High Resolution Spectroscopy of Two-Dimensional Electron Systems
• Anomalous structure in the single particle spectrum of the fractional quantum Hall effect

Cited by in corpus (3)

• Multi-Particle Pseudopotentials for Multi-Component Quantum Hall Systems
• Local density of states and particle entanglement in topological quantum fluids
• Fingerprints of Composite Fermion Lambda Levels in Scanning Tunneling Microscopy