Fractional statistics of topological defects in graphene and related structures.
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.
Department of Physics, University of British Columbia, Vancouver, BC, Canada V6T 1Z1.
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Seradjeh
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Franz