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

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.

13 pages, 7 figures. v2: analysis for ribbons with armchair edges added, to appear in Phys. Rev. B

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Cited by in corpus (10)

• Edge excitations of the canted antiferromagnetic phase of the $\nu =0$ quantum Hall state in graphene: a simplified analysis
• Gate-Defined Graphene Quantum Point Contact in the Quantum Hall Regime
• Surface Magnetic Catalysis
• Formation mechanism of bound states in graphene point contacts
• Spectrum of edge states in the $\nu =0$ quantum Hall phases in graphene
• Dirac Kondo effect under magnetic catalysis
• Propagation of acoustic edge waves in graphene under quantum Hall effect
• Edge magnetoplasmons in a wide armchair graphene ribbon with a weak superlattice potential: finite frequency gaps and zero group velocity
• Zigzag edge states in graphene in the presence of in-plane electric field
• Peculiarities of the Landau level collapse in graphene ribbons in crossed magnetic and in-plane electric fields