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Quantum interference effects in Bi2Se3 topological insulator nanowires with variable cross-section lengths

  • Paolino Iorio
  • Carmine Antonio Perroni
  • Vittorio Cataudella
Regular Article

Abstract

Stimulated by the recent realization of three dimensional topological insulator nanowire interferometers, a theoretical analysis of quantum interference effects on the low energy spectrum of Bi2Se3 nanowires is presented. The electronic properties are analyzed in nanowires with circular, square and rectangular cross-sections starting from a continuum three dimensional model with particular emphasis on magnetic and geometrical effects. The theoretical study is based on numerically exact diagonalizations of the discretized model for all the geometries. In the case of the cylindrical wire, an approximate analytical solution of the continuum model is also discussed. Although a magnetic field corresponding to half quantum flux is expected to close the band gap induced by Berry phase, in all the studied geometries with finite area cross-sections, the gap closes for magnetic fields typically larger than those expected. Furthermore, unexpectedly, due to geometrical quantum interference effects, for a rectangular wire with a sufficiently large aspect ratio and smaller side ranging from 50 Å and 100 Å, the gap closes for a specific finite area cross-section without the application of a magnetic field.

Keywords

Mesoscopic and Nanoscale Systems 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Paolino Iorio
    • 1
  • Carmine Antonio Perroni
    • 1
  • Vittorio Cataudella
    • 1
  1. 1.CNR-SPIN and Physics Department “Ettore Pancini”, Universitá degli Studi di Napoli “Federico II”, Complesso Universitario Monte S. AngeloNapoliItaly

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