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

Xi Chen; J. R. Wallbank; A. A. Patel; M. Mucha-Kruczyński; E. McCann; V. I. Fal'Ko

doi:10.1103/PhysRevB.89.075401

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

Xi Chen^*, J. R. Wallbank, A. A. Patel, M. Mucha-Kruczyński, E. McCann, V. I. Fal'Ko

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We find a systematic reappearance of massive Dirac features at the edges of consecutive minibands formed at magnetic fields Bp/q=pqφ0/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=Bp/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 Bp/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 language	English
Article number	075401
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	89
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevB.89.075401
Publication status	Published - 5 Feb 2014

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title = "Dirac edges of fractal magnetic minibands in graphene with hexagonal moir{\'e} superlattices",

abstract = "We find a systematic reappearance of massive Dirac features at the edges of consecutive minibands formed at magnetic fields Bp/q=pqφ0/S providing rational magnetic flux through a unit cell of the moir{\'e} superlattice created by a hexagonal substrate for electrons in graphene. The Dirac-type features in the minibands at B=Bp/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 Bp/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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AU - Chen, Xi

AU - Wallbank, J. R.

AU - Patel, A. A.

AU - Mucha-Kruczyński, M.

AU - McCann, E.

AU - Fal'Ko, V. I.

PY - 2014/2/5

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N2 - We find a systematic reappearance of massive Dirac features at the edges of consecutive minibands formed at magnetic fields Bp/q=pqφ0/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=Bp/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 Bp/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.

AB - We find a systematic reappearance of massive Dirac features at the edges of consecutive minibands formed at magnetic fields Bp/q=pqφ0/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=Bp/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 Bp/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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Dirac edges of fractal magnetic minibands in graphene with hexagonal moiré superlattices

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