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

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.

14 pages, 7 figures

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• Electric Field Effect in Atomically Thin Carbon Films
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Cited by in corpus (2)

• Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice
• Zigzag dice lattice ribbons: Distinct edge morphologies and structure-spectrum correspondences