Fractional statistics of topological defects in graphene and related structures

Abstract

We show that fractional charges bound to topological defects in the recently proposed time-reversal-invariant models on honeycomb and square lattices obey fractional statistics. The effective low-energy description is given in terms of a `doubled' level-2 Chern-Simons field theory, which is parity and time-reversal invariant and implies two species of semions (particles with statistical angle pi/2) labeled by a new emergent quantum number that we identify as the fermion axial charge.

arXiv comment4 pages, 1 figure, REVTeX4

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• Creation and manipulation of anyons in a layered superconductor-2DEG system
• Dynamical Lorentz symmetry breaking in 3D and charge fractionalization
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• Realization of a vortex in the Kekule texture of molecular Graphene, at a Y junction where 3 domains meet
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• Fermionic dualities with axial gauge fields
• Fractionalization in dimerized graphene and graphene bilayer
• Synthetic anyons in noninteracting systems
• Topological Aspects of Dirac Fermions in a Kagomé Lattice
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• Physical Properties of the Spin Hamiltonian on Honeycomb Lattice Samples with Kekulé and Vacuum Polarization Corrections
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