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Cited by 175

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Edge and surface states in the quantum Hall effect in graphene

Open access
Castro Neto, A. H., Guinea, F., Peres, N. M. R.·2006·Physical Review B

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.

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Metadata

Authors
Castro Neto, A. H., Guinea, F., & Peres, N. M. R.
Venue
Physical Review B
Published
2006-05-10
Volume
73
Issue
20
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W1969456900
Cited by
175
References
3
FWCI
13.24
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Edge and surface states in the quantum Hall effect in graphene. https://app.cochat.ai/papers/10.1103/physrevb.73.205408
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Castro Neto, A. H., Guinea, F., & Peres, N. M. R. (2006). Edge and surface states in the quantum Hall effect in graphene. Physical Review B. https://doi.org/10.1103/physrevb.73.205408

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.