P. K. Pyatkovskiy
Published 2013-09-11, updated 2013-11-18Version 2
Edge states in biased bilayer graphene in a magnetic field are studied within the four-band continuum model. The analysis is done for the semi-infinite graphene plane and for the graphene ribbon of a finite width, in the cases of zigzag and armchair edges. Exact dispersion equations for the edge states and analytic expressions for their wave functions are written in terms of the parabolic cylinder functions. The spectrum of edge states for each type of the boundary conditions is found by numerically solving the corresponding dispersion equations. The low-energy modes localized at zigzag edges are explored in detail.
Comments: 15 pages, 8 figures, v2: to match published version
Journal: Phys. Rev. B 88, 205417 (2013)
Edge states and enhanced spin-orbit interaction at graphene/graphane interfaces
Edge states in graphene in magnetic fields -- a speciality of the edge mode embedded in the n=0 Landau band
Edge states and flat bands in graphene nanoribbons with arbitrary geometries
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