Topology protection-unprotection transition

Example from multiterminal superconducting nanostructures

Journal Article (2019)
Author(s)

Xiao Li Huang (External organisation, Kavli institute of nanoscience Delft)

Y.V. Nazarov (TU Delft - QN/Nazarov Group)

Research Group
QN/Nazarov Group
Copyright
© 2019 Xiao Li Huang, Y.V. Nazarov
DOI related publication
https://doi.org/10.1103/PhysRevB.100.085408
More Info
expand_more
Publication Year
2019
Language
English
Copyright
© 2019 Xiao Li Huang, Y.V. Nazarov
Research Group
QN/Nazarov Group
Issue number
8
Volume number
100
Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Abstract

We show theoretically that in the superconducting nanostructures the gapped states of different topology are not always protected by separating gapless states. Depending on the structure design parameters, they can be either protected or not, with a protection-unprotection transition separating these two distinct situations. We build up a general theoretical description of the transition vicinity in the spirit of Landau theory. We speculate that similar protection-unprotection transitions may also occur for other realizations of topological protection in condensed matter systems.