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)

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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