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Evolution of Landau levels into edge states in graphene.

Authors
  • Li, Guohong
  • Luican-Mayer, Adina
  • Abanin, Dmitry
  • Levitov, Leonid
  • Andrei, Eva Y
Type
Published Article
Journal
Nature Communications
Publisher
Springer Nature
Publication Date
Jan 01, 2013
Volume
4
Pages
1744–1744
Identifiers
DOI: 10.1038/ncomms2767
PMID: 23612285
Source
Medline
License
Unknown

Abstract

Two-dimensional electron systems in the presence of a magnetic field support topologically ordered states, in which the coexistence of an insulating bulk with conducting one-dimensional chiral edge states gives rise to the quantum Hall effect. For systems confined by sharp boundaries, theory predicts a unique edge-bulk correspondence, which is central to proposals of quantum Hall-based topological qubits. However, in conventional semiconductor-based two-dimensional electron systems, these elegant concepts are difficult to realize, because edge-state reconstruction due to soft boundaries destroys the edge-bulk correspondence. Here we use scanning tunnelling microscopy and spectroscopy to follow the spatial evolution of electronic (Landau) levels towards an edge of graphene supported above a graphite substrate. We observe no edge-state reconstruction, in agreement with calculations based on an atomically sharp boundary. Our results single out graphene as a system where the edge structure can be controlled and the edge-bulk correspondence is preserved.

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