Electronic states of pseudospin-1 fermions in α−T3 lattice ribbons in a magnetic field. (24th May 2019)

• Record Type: Journal Article
• Authors: Bugaiko, O V; Oriekhov, D O
• Is Part Of: Journal of physics. Volume 31:Number 32(2019)
• Publication Date: 2019-05-24
• Subjects: Pseudospin-1 -- ribbons -- magnetic field -- α−T3 lattice; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/1361-648X/ab1de8
• Languages: English
• ISSNs: 0953-8984

Abstract

Abstract: The electronic states on a finite width 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.