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Symmetry breaking by the sea of Dirac-Landau levels in graphene

2007/06/28 by Vinu Lukose, R. Shankar, Lukose, Vinu +1
Chemistry · Materials Science · #Carbon Nanotubes in Composites #FOS: Physical sciences #Fullerene Chemistry and Applications #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

paper · pdf · doi:10.48550/arxiv.0706.4280

openalex publication_date 2007/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The quantum Hall states of graphene have a filled Dirac sea of Landau levels. The short ranged SU(4) symmetry breaking interactions can induce a staggered polarization of the sea of Dirac-Landau levels. We study this effect in the extended Hubbard model on a honeycomb lattice using mean field variational wavefunctions. We find a valley symmetry broken, anti-ferromagnetic spin ordered phase at ν=± 1 when the on-site interaction is dominant. Our mean field solution is consistent with the recently reported experimental results of Z. Jiang et. al.\citejiang

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