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Evolution of Landau levels into edge states in graphene

Author

Listed:
  • Guohong Li

    (Rutgers University)

  • Adina Luican-Mayer

    (Rutgers University)

  • Dmitry Abanin

    (Harvard University)

  • Leonid Levitov

    (Massachusetts Institute of Technology)

  • Eva Y. Andrei

    (Rutgers University)

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.

Suggested Citation

  • Guohong Li & Adina Luican-Mayer & Dmitry Abanin & Leonid Levitov & Eva Y. Andrei, 2013. "Evolution of Landau levels into edge states in graphene," Nature Communications, Nature, vol. 4(1), pages 1-7, June.
    • Handle: RePEc:nat:natcom:v:4:y:2013:i:1:d:10.1038_ncomms2767
    DOI: 10.1038/ncomms2767
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    Cited by:

    1. Ravi Kumar & Saurabh Kumar Srivastav & Ujjal Roy & Jinhong Park & Christian Spånslätt & K. Watanabe & T. Taniguchi & Yuval Gefen & Alexander D. Mirlin & Anindya Das, 2024. "Electrical noise spectroscopy of magnons in a quantum Hall ferromagnet," Nature Communications, Nature, vol. 15(1), pages 1-9, December.

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