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  • PhysRevB 81 235422

    Rights statement: © 2010 The American Physical Society

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Fast and slow edges in bilayer graphene nanoribbons: tuning the transition from band to Mott insulator

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Article number235422
<mark>Journal publication date</mark>16/06/2010
<mark>Journal</mark>Physical review B
Issue number23
Number of pages0
Publication StatusPublished
<mark>Original language</mark>English


We show that gated bilayer graphene zigzag ribbons possess a fast and a slow edge, characterized by edge-state velocities that differ due to non-negligible next-nearest-neighbor hopping elements. By applying bosonization and renormalization group methods, we find that the slow edge can acquire a sizable interaction-induced gap, which is tunable via an external gate voltage Vg. In contrast to the gate-induced gap in the bulk, the interaction-induced gap depends nonmonotonously on the on-site potential V.

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© 2010 The American Physical Society