Adhesion and electronic structure of graphene on hexagonal boron nitride substrates

B. Sachs, T. O. Wehling, M. I. Katsnelson, and A. I. Lichtenstein
Phys. Rev. B 84, 195414 – Published 3 November 2011

Abstract

We investigate the adsorption of graphene sheets on h-BN substrates by means of first-principles calculations in the framework of adiabatic connection fluctuation-dissipation theory in the random-phase approximation. We obtain adhesion energies for different crystallographic stacking configurations and show that the interlayer bonding is due to long-range van der Waals forces. The interplay of elastic and adhesion energies is shown to lead to stacking disorder and moiré structures. Band-structure calculations reveal substrate induced mass terms in graphene, which change their sign with the stacking configuration. The dispersion, absolute band gaps, and the real-space shape of the low-energy electronic states in the moiré structures are discussed. We find that the absolute band gaps in the moiré structures are at least an order of magnitude smaller than the maximum local values of the mass term. Our results are in agreement with recent scanning tunneling microscopy experiments.

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  • Received 7 October 2011

DOI:https://doi.org/10.1103/PhysRevB.84.195414

©2011 American Physical Society

Authors & Affiliations

B. Sachs1,*, T. O. Wehling1,†, M. I. Katsnelson2, and A. I. Lichtenstein1

  • 1I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstraße 9, D-20355 Hamburg, Germany
  • 2Radboud University of Nijmegen, Institute for Molecules and Materials, Heijendaalseweg 135, NL-6525 AJ Nijmegen, The Netherlands

  • *bsachs@physnet.uni-hamburg.de
  • twehling@physnet.uni-hamburg.de

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Issue

Vol. 84, Iss. 19 — 15 November 2011

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