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

Xi Chen, J. R. Wallbank, A. A. Patel, M. Mucha-Kruczynski, E. McCann, V. I. Fal'ko

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

We find a systematic reappearance of massive Dirac features at the edges of consecutive minibands formed at magnetic fields B p/q =pq ϕ 0 /S providing rational magnetic flux through a unit cell of the moiré 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.
Original languageEnglish
Article number075401
Pages (from-to)1 - 5
Number of pages5
JournalPhysical Review B
Volume89
Issue number7
Early online date5 Feb 2014
DOIs
Publication statusPublished - Feb 2014

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