Work

Edge and surface states in the quantum Hall effect in graphene

Year: 2006

Type: article

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 nonuniversal tunneling exponent, and the Hall conductivity is not perfectly quantized in units of ${e}^{2}∕h$. We argue that the magnetotransport properties of graphene depend strongly on the strength of electron-electron interactions, the amount of disorder, and the details of the edges.

Source: Physical Review B

DOI: 10.1103/physrevb.73.205408

Authors: A. H. Castro Neto, F. Guinea, N. M. R. Peres

Institutions: Boston University, Instituto de Ciencia de Materiales de Madrid, University of Minho

Language: English

Topic: Graphene research and applications

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Division of Materials Research

Award: Disordered Critical Quantum Magnetic Systems