Generic miniband structure of graphene on a hexagonal substrate

J. R. Wallbank, A. A. Patel, M. Mucha-Kruczyński, A. K. Geim, and V. I. Fal'ko
Phys. Rev. B 87, 245408 – Published 4 June 2013

Abstract

Using a general symmetry-based approach, we provide a classification of generic miniband structures for electrons in graphene placed on substrates with the hexagonal Bravais symmetry. In particular, we identify conditions at which the first moiré miniband is separated from the rest of the spectrum by either one or a group of three isolated mini Dirac points and is not obscured by dispersion surfaces coming from other minibands. In such cases, the Hall coefficient exhibits two distinct alternations of its sign as a function of charge carrier density.

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  • Received 19 November 2012

DOI:https://doi.org/10.1103/PhysRevB.87.245408

©2013 American Physical Society

Authors & Affiliations

J. R. Wallbank1, A. A. Patel1,2, M. Mucha-Kruczyński1, A. K. Geim3, and V. I. Fal'ko1,4

  • 1Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom
  • 2Department of Physics, Indian Institute of Technology Kanpur, Kanpur 208016, India
  • 3Centre for Mesoscience and Nanotechnology, University of Manchester, Manchester M13 9PL, United Kingdom
  • 4DPMC, University of Geneva, 24 Quai Ernest-Ansermet, CH1211 Genéve 4, Switzerland

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Issue

Vol. 87, Iss. 24 — 15 June 2013

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