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Electronic properties of α − 𝒯3 quantum dots in magnetic fields

Author

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  • Alexander Filusch

    (Institute of Physics, University Greifswald)

  • Holger Fehske

    (Institute of Physics, University Greifswald)

Abstract

We address the electronic properties of quantum dots in the two-dimensional α − 𝒯3 lattice when subjected to a perpendicular magnetic field. Implementing an infinite mass boundary condition, we first solve the eigenvalue problem for an isolated quantum dot in the low-energy, long-wavelength approximation where the system is described by an effective Dirac-like Hamiltonian that interpolates between the graphene (pseudospin 1/2) and Dice (pseudospin 1) limits. Results are compared to a full numerical (finite-mass) tight-binding lattice calculation. In a second step we analyse charge transport through a contacted α − 𝒯3 quantum dot in a magnetic field by calculating the local density of states and the conductance within the kernel polynomial and Landauer-Büttiker approaches. Thereby the influence of a disordered environment is discussed as well. Graphical abstract

Suggested Citation

  • Alexander Filusch & Holger Fehske, 2020. "Electronic properties of α − 𝒯3 quantum dots in magnetic fields," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(9), pages 1-11, September.
  • Handle: RePEc:spr:eurphb:v:93:y:2020:i:9:d:10.1140_epjb_e2020-10178-2
    DOI: 10.1140/epjb/e2020-10178-2
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    Mesoscopic and Nanoscale Systems;

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