Transport in Topological Insulator Nanowires

Jens H. Bardarson, Roni Ilan

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In this chapter, we review our work on the theory of quantum transport in topological insulator nanowires. We discuss both normal state properties and superconducting proximity effects, including the effects of magnetic fields and disorder. Throughout we assume that the bulk is insulating and inert, and work with a surface-only theory. The essential transport properties are understood in terms of three special modes: in the normal state, half a flux quantum along the length of the wire induces a perfectly transmitted mode protected by an effective time-reversal symmetry; a transverse magnetic field induces chiral modes at the sides of the wire, with different chiralities residing on different sides protecting them from backscattering; and finally, Majorana zero modes are obtained at the ends of a wire in a proximity to a superconductor, when combined with a flux along the wire. Some parts of our discussion have a small overlap with the discussion in the review [1]. We do not aim to give a complete review of the published literature, instead the focus is mainly on our own and directly related work.

Original languageEnglish
Title of host publicationTopological Matter
Subtitle of host publicationLectures from the Topological Matter School 2017
EditorsDario Bercioux, Jérôme Cayssol, Maia G. Vergniory, M. Reyes Calvo
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages22
ISBN (Electronic)978-3-319-76388-0
ISBN (Print)978-3-319-76387-3, 978-3-030-09477-5
StatePublished - 2018

Publication series

NameSpringer Series in Solid-State Sciences
ISSN (Print)0171-1873
ISSN (Electronic)2197-4179


  • Chiral Modes
  • Superconducting Proximity Effect
  • Time-reversal Symmetry
  • Topological Insulators (TI)
  • Topological Superconductors


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