Evolution of Landau levels into edge states in graphene
Name
Levitov_Evolution of.pdf
Size
512.81 KB
Format
Adobe PDF
Checksum (MD5)
161a794b67d7a3fa8c35cfa76fe6812f
Author(s)
Li, Guohong
Luican-Mayer, Adina
Abanin, Dmitry A.
Levitov, Leonid
Andrei, Eva Y.
Date Issued
April 2013
Journal
Nature Communications
Publisher
Nature Publishing Group
Citation
Li, Guohong, Adina Luican-Mayer, Dmitry Abanin, Leonid Levitov, and Eva Y. Andrei. “Evolution of Landau Levels into Edge States in Graphene.” Nature Communications 4 (April 23, 2013): 1744.
Version
Original manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1038/ncomms2767
