Topological low-energy modes in N=0 Landau levels of graphene: a possibility of a quantum-liquid ground state
arXiv:0804.4762 · doi:10.1016/j.physe.2007.09.164
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 "Kekule pattern", which respects the chiral symmetry. Since the Kekule 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.
References in corpus (3)
Cited by in corpus (8)
- Field-induced Kosterlitz-Thouless transition in the N=0 Landau level of graphene
- Bulk-edge correspondence in graphene with/without magnetic field: Chiral symmetry, Dirac fermions and Edge states
- Edge states in graphene in magnetic fields -- a speciality of the edge mode embedded in the n=0 Landau band
- Chiral condensate with topological degeneracy in graphene and its manifestation in edge states
- Quasienergy spectra of a charged particle in planar honeycomb lattices
- Electronic zero modes of vortices in Hall states of gapped graphene
- Spin-resoloved chiral condensate as a spin-unpolarized ν=0 quantum Hall state in graphene
- Robust Zero Modes in Disordered Two-Dimensional Honeycomb Lattice with Kekulé Bond Ordering