Edge and Surface States in the Quantum Hall Effect in Graphene

Details Edge and Surface States in the Quantum Hall Effect in Graphene Edge and Surface States in the Quantum Hall Effect in Graphene

2005-09-27

arxiv.org/abs/cond-mat/0509709v2

Physical Review B 73, 205408 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 6 figures. This is the final and extended version of our manuscript that was published in Physical Review B. It conta

Scientific paper

10.1103/PhysRevB.73.205408

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.

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