Edge and Surface States in the Quantum Hall Effect in Graphene
Abstract
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 . 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.
Keywords
Cite
@article{arxiv.cond-mat/0509709,
title = {Edge and Surface States in the Quantum Hall Effect in Graphene},
author = {A. H. Castro Neto and F. Guinea and N. M. R. Peres},
journal= {arXiv preprint arXiv:cond-mat/0509709},
year = {2009}
}
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