### Session H30: Electronic Properties of Graphene and Related Structures II

8:00 AM–11:00 AM, Tuesday, March 11, 2008
Morial Convention Center Room: 222

Chair: Giovanni Cantele, Istituto Nazionale per la Fisica della Materia

Abstract ID: BAPS.2008.MAR.H30.8

### Abstract: H30.00008 : Fractional statistics of topological defects in graphene and related structures

9:24 AM–9:36 AM

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#### Authors:

We show that fractional charges bound to topological defects in the recently proposed time-reversal-invariant models of spinless fermions on the honeycomb lattice with Kekule distortion and on the $\pi$-flux square lattice with Peierls distortion obey fractional statistics. The continuum 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 $\pm\pi/2$) labeled by a new emergent quantum number that we identify as the fermion axial charge.