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Landau levels in wrinkled and rippled graphene sheets

Author

Listed:
  • Kyriakos Flouris

    (ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Str. 27, HIT, CH-8093 Zürich, Switzerland)

  • Miller Mendoza Jimenez

    (ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Str. 27, HIT, CH-8093 Zürich, Switzerland)

  • Hans J. Herrmann

    (Departamento de Física, Universidade do Ceará 60451-970 Fortaleza, Brazil2Departamento de Física, Universidade do Ceará 60451-970 Fortaleza, Brazil3on leave from C.N.R.S., UMR 7636, PMMH, ESPCI, 10 rue Vauquelin 75231, Paris Cedex 05, France)

Abstract

We study the discrete energy spectrum of curved graphene sheets in the presence of a magnetic field. The shifting of the Landau levels is determined for complex and realistic geometries of curved graphene sheets. The energy levels follow a similar square root dependence on the energy quantum number as for rippled and flat graphene sheets. The Landau levels are shifted towards lower energies proportionally to the average deformation and the effect is larger compared to a simple uni-axially rippled geometry. Furthermore, the resistivity of wrinkled graphene sheets is calculated for different average space curvatures and shown to obey a linear relation. The study is carried out with a quantum lattice Boltzmann method, solving the Dirac equation on curved manifolds.

Suggested Citation

  • Kyriakos Flouris & Miller Mendoza Jimenez & Hans J. Herrmann, 2019. "Landau levels in wrinkled and rippled graphene sheets," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-10, October.
    • Handle: RePEc:wsi:ijmpcx:v:30:y:2019:i:10:n:s0129183119410067
    DOI: 10.1142/S0129183119410067
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