Publication: Edge states on graphene ribbon in magnetic field: Interplay between Dirac and ferromagnetic-like gaps

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Title	Edge states on graphene ribbon in magnetic field: Interplay between Dirac and ferromagnetic-like gaps
Authors/Editors*	V. Gusynin, V. Miransky, S. Sharapov, I. Shovkovy, C. Wyenberg
Where published*	Physical Review B
How published*	Journal
Year*	2009
Volume	79
Number	11
Pages	115431:1-11
Publisher	American Physical Society
Keywords	graphene, quantum Hall effect, edge states
Link	http://link.aps.org/abstract/PRB/v79/e115431
Abstract	By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall ferromagnetism (QHF) gaps and dynamically generated Dirac-like masses. The analysis is done for graphene ribbons with both zigzag and armchair edges. The characteristic features of the spectrum of the edge states in both these cases are described. In particular, the conditions for the existence of the gapless edge states are established. Implications of these results for the interpretation of recent experiments are discussed.