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Landau levels in graphene in the presence of emergent gravity

Author

Listed:
  • Zakhar V. Khaidukov

    (Institute for Theoretical and Experimental Physics)

  • Mikhail A. Zubkov

    (Institute for Theoretical and Experimental Physics
    Moscow Institute of Physics and Technology, 9, Institutskii per.
    Far Eastern Federal University, School of Biomedicine
    National Research Nuclear University MEPhI (Moscow Engineering Physics Institute))

Abstract

We consider graphene in the presence of external magnetic field and elastic deformations that cause emergent magnetic field. The total magnetic field results in the appearance of Landau levels in the spectrum of quasiparticles. In addition, the quasiparticles in graphene experience the emergent gravity. We consider the particular choice of elastic deformation, which gives constant emergent magnetic field and vanishing torsion. Emergent gravity may be considered as perturbation. We demonstrate that the corresponding first order approximation affects the energies of the Landau levels only through the constant renormalization of Fermi velocity. The degeneracy of each Landau level receives correction, which depends essentially on the geometry of the sample. There is the limiting case of the considered elastic deformation, that corresponds to the uniformly stretched graphene. In this case in the presence of the external magnetic field the degeneracies of the Landau levels remain unchanged.

Suggested Citation

  • Zakhar V. Khaidukov & Mikhail A. Zubkov, 2016. "Landau levels in graphene in the presence of emergent gravity," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(10), pages 1-9, October.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:10:d:10.1140_epjb_e2016-70182-7
    DOI: 10.1140/epjb/e2016-70182-7
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    Solid State and Materials;

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