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

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

2007-06-28

arxiv.org/abs/0706.4280v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures. Improved approximation, changes in equation for phase boundary and numbers. Conclusions remain unchanged

Scientific paper

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 $\nu=\pm 1$ when the on-site interaction is dominant. Our mean field solution is consistent with the recently reported experimental results of Z. Jiang et. al.\cite{jiang}

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