Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-05-21
Phys. Rev. B 78, 205401 (2008) (5 pages)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 9 figures
Scientific paper
10.1103/PhysRevB.78.205401
While usual edge states in the quantum Hall effect(QHE) reside between adjacent Landau levels, QHE in graphene has a peculiar edge mode at E=0 that reside right within the n=0 Landau level as protected by the chiral symmetry. We have theoretically studied the edge states to show that the E=0 edge mode, despite being embedded in the bulk Landau level, does give rise to a wave function whose charge is accumulated along zigzag edges. This property, totally outside continuum models, implies that the graphene QHE harbors edges distinct from ordinary QHE edges with their topological origin. In the charge accumulation the bulk states re-distribute their charge significantly, which may be called a topological compensation of charge density. The real space behavior obtained here should be observable in an STM imaging.
Aoki Hideo
Arikawa Mitsuhiro
Hatsugai Yasuhiro
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