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Dirac edges of fractal magnetic minibands in graphene with hexagonal moire superlattices

Research output: Contribution to journalJournal article


Article number075401
Journal publication date5/02/2014
JournalPhysical Review B
Number of pages5
Original languageEnglish


We find a systematic reappearance of massive Dirac features at the edges of consecutive minibands formed at magnetic fields B_{p/q}=\frac{p}{q}\phi_0/S providing rational magnetic flux through a unit cell of the moire superlattice created by a hexagonal substrate for electrons in graphene. The Dirac-type features in the minibands at B=B_{p/q} determine a hierarchy of gaps in the surrounding fractal spectrum, and show that these minibands have topological insulator properties. Using the additional q-fold degeneracy of magnetic minibands at B_{p/q}, we trace the hierarchy of the gaps to their manifestation in the form of incompressible states upon variation of the carrier density and magnetic field.

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©2014 American Physical Society