Normal and skewed phosphorene nanoribbons in combined magnetic and electric fields

Vladimir V. Arsoski, Marko M. Grujić, Nemanja A. Čukarić, Milan Ž. Tadić, and François M. Peeters
Phys. Rev. B 96, 125434 – Published 25 September 2017

Abstract

The energy spectrum and eigenstates of single-layer black phosphorus nanoribbons in the presence of a perpendicular magnetic field and an in-plane transverse electric field are investigated by means of a tight-binding method, and the effect of different types of edges is examined analytically. A description based on a continuum model is proposed using an expansion of the tight-binding model in the long-wavelength limit. The wave functions corresponding to the flatband part of the spectrum are obtained analytically and are shown to agree well with the numerical results from the tight-binding method for both narrow (10 nm) and wide (100 nm) nanoribbons. Analytical expressions for the critical magnetic field at which Landau levels are formed and the ranges of wave numbers in the dispersionless flatband segments in the energy spectra are derived. We examine the evolution of the Landau levels when an in-plane lateral electric field is applied, and we determine analytically how the edge states shift with magnetic field. For wider nanoribbons, the conductance is shown to have a characteristic staircase shape in combined magnetic and electric fields. Some of the stairs in zigzag and skewed armchair nanoribbons originate from edge states that are found in the band gap.

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  • Received 11 April 2017
  • Revised 29 July 2017

DOI:https://doi.org/10.1103/PhysRevB.96.125434

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Vladimir V. Arsoski1,*, Marko M. Grujić1,2,†, Nemanja A. Čukarić1,2,‡, Milan Ž. Tadić1,§, and François M. Peeters2,∥

  • 1School of Electrical Engineering, University of Belgrade, P.O. Box 3554, 11120 Belgrade, Serbia
  • 2Department of Physics, University of Antwerp, Groenenborgerlaan 171, B-2020 Antwerp, Belgium

  • *vladimir.arsoski@etf.bg.ac.rs
  • marko.grujic@etf.bg.ac.rs
  • nemanja.cukaric@etf.bg.ac.rs
  • §milan.tadic@etf.bg.ac.rs
  • francois.peeters@uantwerpen.be

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Issue

Vol. 96, Iss. 12 — 15 September 2017

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