Moire patterns in graphene bilayers: electronic structure

ORAL

Abstract

Moire patterns, resulting from a small angle rotation of the top layer have been observed in graphite [1]. We consider a similar situation in a graphene bilayer. We determine the angles for which the resulting structure is periodic and study its symmetries. We develop a general formalism for the calculation of the electronic properties at low energies (close to the Dirac points of the uncoupled bilayers) and for small rotation angles, based on a continuum approximation for the uncoupled layers. We discuss the resulting electronic structure and possible consequences for transport properties. [1] Z. Rong and P Kuiper, Phys. Rev B. 48, 17427, (1993)

*Support from EU and FCT, Portugal, is aknowledged.

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Authors

  • J.M.B. Lopes dos Santos

    • CFP, Dep Fisica, Faculdade Ciencias, Universidade do Porto
    • University of Porto, Physics Department

  • Nuno M.R. Peres

    • Departamento Fisica, Universidade do Minho
    • School of Sciences, Physics Department
    • Departamento de F\'isica. Universidade do Minho. Braga. P-4710-057 Portugal

  • Antonio Castro Neto

    • Boston University
    • Department of Physics, Boston University
    • Boston University, Physics Department
    • Department of Physics. Boston University. 590 Commonwealth Av. Boston MA02115
    • Department of Physics, Harvard University, Cambridge, USA and Department of Physics, Boston University, Boston,USA
    • Department of Physics, Boston University, Boston, MA 02215
    • Physics Dept, Boston University

  • Eduardo Castro

    • CFP, Dep. Fisica, Faculdade Ciencias, Universidade do Porto