Electronic properties of α − 𝒯3 quantum dots in magnetic fields

Alexander Filusch and Holger Fehske ()
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Alexander Filusch: Institute of Physics, University Greifswald
Holger Fehske: Institute of Physics, University Greifswald

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 9, 1-11

Abstract: 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

Keywords: Mesoscopic; and; Nanoscale; Systems (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1140/epjb/e2020-10178-2

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