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We provide a systematic quantitative description of spin polarization inarmchair and zigzag graphene nanoribbons in a perpendicular magnetic field. Wefirst address spinless electrons within the Hartree approximation studying theevolution of the magnetoband structure and formation of the compressiblestrips. We discuss the potential profile and the density distribution near theedges and the difference and similarities between armchair and zigzag edges.Accounting for the Zeeman interaction and describing the spin effects via theHubbard term we study the spin-resolved subband structure and relate the spinpolarization of the system at hand to the formation of the compressible stripsfor the case of spinless electrons. At high magnetic field the calculatedeffective g-factor varies around a value of <g*>~2.25 for armchair nanoribbonsand <g*>~3 for zigzag nanoribbons. An important finding is that in zigzagnanoribbons the zero-energy mode remains pinned to the Fermi-energy and becomesfully spin-polarized for all magnetic fields, which, in turn, leads to a strongspin polarization of the electron density near the zigzag edge.

Spin polarization and g-factor enhancement in graphene nanoribbons in magnetic field