Evolution of Landau levels into edge states in graphene

被引：55
|
作者：
Li, Guohong [1 ]
Luican-Mayer, Adina [1 ]
Abanin, Dmitry [2 ]
Levitov, Leonid [3 ]
Andrei, Eva Y. [1 ]
机构：
[1] Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08855 USA
[2] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA
[3] MIT, Dept Phys, Cambridge, MA 02139 USA
来源：
NATURE COMMUNICATIONS | 2013年 / 4卷
基金：
美国国家科学基金会;
关键词：
QUANTUM HALL EDGE; CHIRAL LUTTINGER LIQUIDS; CHANNELS; SHARP;
D O I：
10.1038/ncomms2767
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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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页数：7
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