Theoretical Aspects of the Fractional Quantum Hall Effect in Graphene
arXiv:1106.4939 · doi:10.1088/0031-8949/2012/T146/014017
Abstract
We review the theoretical basis and understanding of electronic interactions in graphene Landau levels, in the limit of strong correlations. This limit occurs when inter-Landau-level excitations may be omitted because they belong to a high-energy sector, whereas the low-energy excitations only involve the same level, such that the kinetic energy (of the Landau level) is an unimportant constant. Two prominent effects emerge in this limit of strong electronic correlations: generalised quantum Hall ferromagnetic states that profit from the approximate four-fold spin-valley degeneracy of graphene's Landau levels and the fractional quantum Hall effect. Here, we discuss these effects in the framework of an SU(4)-symmetric theory, in comparison with available experimental observations.
12 pages, 3 figures; review for the proceedings of the Nobel Symposium on Graphene and Quantum Matter
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Cited by in corpus (5)
- Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene
- Coulomb impurity under magnetic field in graphene: a semiclassical approach
- Landau level transitions indoped graphene in a time dependent magnetic field
- Hydrodynamic study of edge spin-vortex excitations of fractional quantum Hall fluid
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