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arXiv · 1902.02367

Electronic states of pseudospin-1 fermions in $\alpha-\mathcal{T}_3$ lattice ribbons in a magnetic field

O. V. Bugaiko·D. O. Oriekhov
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Abstract

The electronic states on a finite width $\alpha-\mathcal{T}_3$ ribbon in a magnetic field are studied in the framework of low-energy effective theory. Both zigzag and armchair types of boundary conditions are analyzed. The analytical solutions are compared with the results of numerical tight-binding calculations. It is found that the flat band of zero energy survives for all types of boundary conditions. The analytical estimates for the spectral gap in a weak magnetic field are discussed. For zigzag type boundary conditions the approximate expressions for the edge and bulk electron states in the strong magnetic field are found.

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O. V. Bugaiko, D. O. Oriekhov. 2019-02-06. Electronic states of pseudospin-1 fermions in $\alpha-\mathcal{T}_3$ lattice ribbons in a magnetic field. https://doi.org/10.1088/1361-648x%2Fab1de8

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