A. H. Castro Neto, F. Guinea, N. M. R. Peres
Published 2005-09-27, updated 2006-05-15Version 2
We study the integer and fractional quantum Hall effect on a honeycomb lattice at half-filling (graphene) in the presence of disorder and electron-electron interactions. We show that the interactions between the delocalized chiral edge states (generated by the magnetic field) and Anderson-localized surface states (created by the presence of zig-zag edges) lead to edge reconstruction. As a consequence, the point contact tunneling on a graphene edge has a non-universal tunneling exponent, and the Hall conductivity is not perfectly quantized in units of $e^2/h$. We argue that the magneto-transport properties of graphene depend strongly on the strength of electron-electron interactions, the amount of disorder, and the details of the edges.
Comments: 9 pages, 6 figures. This is the final and extended version of our manuscript that was published in Physical Review B. It contains a detailed discussion on the effects of disorder on the surface and edge states in graphene
Journal: Physical Review B 73, 205408 (2006)
On the ground state of fractional quantum Hall effect
Virial Expansions, Exclusion Statistics, and the Fractional Quantum Hall Effect
Spin, spin-orbit, and electron-electron interactions in mesoscopic systems
