Fractional statistics of topological defects in graphene and related structures

Details Fractional statistics of topological defects in graphene and related structures Fractional statistics of topological defects in graphene and related structures

2007-09-26

arxiv.org/abs/0709.4258v1

Phys. Rev. Lett. 101, 146401 (2008).

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure, REVTeX4

Scientific paper

10.1103/PhysRevLett.101.146401

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.

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