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.

4 pages, 1 figure, REVTeX4

References in corpus (4)

• Valley filter and valley valve in graphene
• Electron fractionalization in two-dimensional graphenelike structures
• Chiral Gauge Theory for Graphene
• Irrational vs. rational charge and statistics in two-dimensional quantum systems

Cited by in corpus (14)

• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Kekule' textures, pseudo-spin one Dirac cones and quadratic band crossings in a graphene-hexagonal indium chalcogenide bilayer
• Manifestations of topological effects in graphene
• Vortices, zero modes and fractionalization in bilayer-graphene exciton condensate
• Lattice gauge theory model for graphene
• Observation of Kekulé vortices induced in graphene by hydrogen adatoms
• Creation and manipulation of anyons in a layered superconductor-2DEG system
• Dynamical Lorentz symmetry breaking in 3D and charge fractionalization
• Realization of a vortex in the Kekule texture of molecular Graphene, at a Y junction where 3 domains meet
• Fermionic dualities with axial gauge fields
• Fractionalization in dimerized graphene and graphene bilayer
• Topological Aspects of Dirac Fermions in a Kagomé Lattice
• Wilson loop invariants and bulk-boundary correspondence in higher-order topological insulators with two anticommuting mirror symmetries
• An exactly solvable model for anyons with non-Abelian flux