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Diffusive transport in the lowest Landau level of disordered 2d semimetals: the mean-square-displacement approach

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  • Andreas Sinner

    (Universität Augsburg
    Uniwersytet Opolski)

  • Gregor Tkachov

    (Universität Augsburg)

Abstract

We study the electronic transport in the lowest Landau level of disordered two-dimensional semimetals placed in a homogeneous perpendicular magnetic field. The material system is modeled by the Bernevig–Hughes–Zhang Hamiltonian, which has zero energy Landau modes due to the material’s intrinsic Berry curvature. These turn out to be crucially important for the density of states and the static conductivity of the disordered system. We develop an analytical approach to the diffusion and conductivity based on a self-consistent equation of motion for the mean-squared displacement. The obtained value of the zero mode conductivity is close to the conductivity of disordered Dirac electrons without magnetic fields, which have zero energy points in the spectrum as well. Our analysis is applicable in a broader context of disordered two-dimensional electron gases in strong magnetic fields. Graphicabstract

Suggested Citation

  • Andreas Sinner & Gregor Tkachov, 2022. "Diffusive transport in the lowest Landau level of disordered 2d semimetals: the mean-square-displacement approach," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(6), pages 1-17, June.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:6:d:10.1140_epjb_s10051-022-00358-1
    DOI: 10.1140/epjb/s10051-022-00358-1
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    References listed on IDEAS

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    1. K. S. Novoselov & A. K. Geim & S. V. Morozov & D. Jiang & M. I. Katsnelson & I. V. Grigorieva & S. V. Dubonos & A. A. Firsov, 2005. "Two-dimensional gas of massless Dirac fermions in graphene," Nature, Nature, vol. 438(7065), pages 197-200, November.
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