Numerical analysis of surface and edge states in slabs, stripes, rods and surface steps of topological insulators

Autor: Fedotov, N. I., Zaitsev-Zotov, S. V.
Rok vydání: 2018
Předmět:
Zdroj: N I Fedotov and S V Zaitsev-Zotov 2018 J. Phys.: Condens. Matter 30 485301
Druh dokumentu: Working Paper
DOI: 10.1088/1361-648X/aae9d7
Popis: By numerically solving the effective continuous model of a topological insulator with parameters corresponding to the band structure of the topological insulator Bi2Se3 , we analyze possible appearance of one-dimensional states in various geometries. Massless Dirac fermions are found at the edges of thin ribbons with surface oriented not only along the van der Waals gap but also in the perpendicular direction. Thick rods and slabs with surface steps host massive modes localized on surface faces. We argue that the modes are massive and their origin is due to the difference in the Dirac point energy of adjacent faces. The absence of one-dimensional states near edges of a large rectangular rod and surface steps is demonstrated.
Comment: 9 pages, 10 figures; revised version, additional references, extended introduction and method description, enhanced figures
Databáze: arXiv