Deconfined fractional electric charges in graphene at high magnetic fields

Abstract

The resistance at the charge neutral (Dirac) point was shown by Checkelsky et al in Phys. Rev. B 79, 115434 (2009) to diverge upon the application of a strong magnetic field normal to graphene. We argue that this divergence is the signature for a Kekule instability of graphene, which is induced by the magnetic field. We show that the strong magnetic field does not remove the zero modes that bind a fraction of the electron around vortices in the Kekule dimerization pattern, and that quenched disorder present in the system makes it energetically possible to separate the fractional charges. These findings, altogether, indicate that graphene can sustain deconfined fractionalized electrons.

11 pages, 2 figures

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• The electronic properties of graphene
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• Quantum Hall Ferromagnetism in Graphene
• Landau Level Splitting in Graphene in High Magnetic Fields
• Electron fractionalization in two-dimensional graphenelike structures
• The zero-energy state in graphene in a high magnetic field
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• Magnetoresistance measurements of Graphene at the Charge Neutrality Point
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• SU(4) Skyrmions in the $\nu =\pm 1$ Quantum Hall State of Graphene
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• Antilinear spectral symmetry and the vortex zero-modes in topological insulators and graphene
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• Hierarchy of Spin and Valley Symmetry Breaking in Quantum Hall Single Layer Graphene
• Theoretical Aspects of the Fractional Quantum Hall Effect in Graphene
• Zero modes of the generalized fermion-vortex system in magnetic field
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• Topological Transition of Graphene from Quantum Hall Metal to Quantum Hall Insulator at $\nu =0$
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• Spin-resoloved chiral condensate as a spin-unpolarized ν=0 quantum Hall state in graphene
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