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Complex band-structure analysis and topological physics of Majorana nanowires

  • Javier OscaEmail author
  • Llorenç Serra
Colloquium
  • 37 Downloads

Abstract

We review applications of complex band structure theory to describe Majorana states in nanowires and nanowire junctions. The dimensionality of the considered wires is gradually increased, from strictly 1D to quasi-1D with one and two transverse dimensions. The complex wave number analysis is applied to two main types of Majorana modes: end states in hybrid semiconductor wires and chiral edge states in hybrid wires of quantum-anomalous Hall insulators. In topological NS and NSN junctions with Majorana modes conductance oscillations and spatial distributions of density and current are described. Finally, the optical absorption in finite systems with both types of Majorana modes is considered.

Graphical abstract

Keywords

Solid State and Materials 

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Copyright information

© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.IMECLeuvenBelgium
  2. 2.KU Leuven, ESAT-MICASLeuvenBelgium
  3. 3.Institut de Física Interdisciplinària i de Sistemes Complexos IFISC (CSIC-UIB)PalmaSpain
  4. 4.Departament de Física, Universitat de les Illes BalearsPalmaSpain

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