Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-06-24
Phys. Scr. T 146, 014017 (2012)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 3 figures; review for the proceedings of the Nobel Symposium on Graphene and Quantum Matter
Scientific paper
10.1088/0031-8949/2012/T146/0140
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.
Goerbig Mark O.
Regnault Nicolas
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