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  • PhysRevB.89.075401

    Rights statement: ©2014 American Physical Society

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

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Article number075401
<mark>Journal publication date</mark>5/02/2014
<mark>Journal</mark>Physical Review B
Issue number7
Number of pages5
<mark>Original language</mark>English


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