Topological low-energy modes in N=0 Landau levels of graphene: A possibility of a quantum-liquid ground state
Abstract
We point out that the zero-energy Landau level of Dirac fermions in graphene can be, in the presence of a repulsive electron-electron interaction, split into two (levels) associated with a “bond ordering” formation having a “Kekulé pattern”, which respects the chiral symmetry. Since the Kekulé pattern has a three-fold degeneracy, domain structures are implied, for which we show that in-gap states localized along the domain boundaries exist as topological states. Based on this a possibility of a quantum-liquid ground state of graphene in magnetic fields is discussed.
- Publication:
-
Physica E Low-Dimensional Systems and Nanostructures
- Pub Date:
- March 2008
- DOI:
- 10.1016/j.physe.2007.09.164
- arXiv:
- arXiv:0804.4762
- Bibcode:
- 2008PhyE...40.1530H
- Keywords:
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- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- Physica E 40, 1530 (2008)