Evolution of Landau levels into edge states in graphene

被引：56

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.

引用

页数：7

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