Quantum Hall Ferromagnetism in Graphene

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.96.256602

Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-like low-energy excitations. When Zeeman and spin-orbit interactions are neglected its Landau levels are four-fold degenerate, explaining the $4 e^2/h$ separation between quantized Hall conductivity values seen in recent experiments. In this paper we derive a criterion for the occurrence of interaction-driven quantum Hall effects near intermediate integer values of $e^2/h$ due to charge gaps in broken symmetry states.

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