Phys. Rev. Lett. 101, 146401 (2008) [4 pages]Fractional Statistics of Topological Defects in Graphene and Related StructuresReceived 26 September 2007; published 30 September 2008 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 ±π/2) labeled by a new emergent quantum number that we identify as the fermion axial charge. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.146401
DOI:
10.1103/PhysRevLett.101.146401
PACS:
71.10.Pm, 05.30.Pr, 73.63.−b
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