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

29 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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magnetic fields
Carrier concentration
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insulators
Electrons
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Dirac edges of fractal magnetic minibands in graphene with hexagonal moiré superlattices. / Chen, Xi; Wallbank, J. R.; Patel, A. A.; Mucha-Kruczynski, M.; McCann, E.; Fal'ko, V. I.

In: Physical Review B, Vol. 89, No. 7, 075401, 02.2014, p. 1 - 5.

Research output: Contribution to journalArticle

Chen, Xi ; Wallbank, J. R. ; Patel, A. A. ; Mucha-Kruczynski, M. ; McCann, E. ; Fal'ko, V. I. / Dirac edges of fractal magnetic minibands in graphene with hexagonal moiré superlattices. In: Physical Review B. 2014 ; Vol. 89, No. 7. pp. 1 - 5.
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