CaltechAUTHORS
  A Caltech Library Service

Benefits of Weak Disorder in One-Dimensional Topological Superconductors

Haim, Arbel and Stern, Ady (2019) Benefits of Weak Disorder in One-Dimensional Topological Superconductors. Physical Review Letters, 122 (12). Art. No. 126801. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20181105-091729626

[img] PDF - Published Version
See Usage Policy.

423Kb
[img] PDF - Submitted Version
See Usage Policy.

1135Kb
[img] PDF (Details on: (i) numerical simulations; (ii) analysis of the low-energy model; (iii) calculation of the localization length in the case of a single-channel p-wave and s-wave SCs) - Supplemental Material
See Usage Policy.

681Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20181105-091729626

Abstract

Majorana bound states are zero-energy modes localized at the ends of a one-dimensional (1D) topological superconductor. Introducing disorder usually increases the Majorana localization length, until eventually inducing a topological phase transition to a trivial phase. In this work we show that in some cases weak disorder causes the Majorana localization length to decrease, making the topological phase more robust. Increasing the disorder further eventually leads to a change of trend and to a phase transition to a trivial phase. Interestingly the transition occurs at ξ_0 ≫ l, where l is the disorder mean-free path and ξ_0 is the localization length in the clean limit. Our results are particularly relevant to a 1D topological superconductors formed in planar Josephson junctions.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevlett.122.126801 DOIArticle
https://arxiv.org/abs/1808.07886arXivDiscussion Paper
ORCID:
AuthorORCID
Stern, Ady0000-0002-9493-268X
Alternate Title:The double-edge sword of disorder in multichannel topological superconductors
Additional Information:© 2019 American Physical Society. Received 13 September 2018; published 29 March 2019. We have benefited from the insightful comments of B. Halperin and Y. Oreg. We also thank M. Buchhold for useful discussions. We acknowledge support from the Walter Burke Institute for Theoretical Physics at Caltech (A. H.), the Israel Science Foundation (A. S.), the European Research Council under the European Community Seventh Framework Program (Grant No. FP7/2007-2013/MUNATOP) (A. S.), Microsoft Station Q (A. S.), and the DFG (CRC/Transregio 183, Grant No. EI 519/7-1) (A. S.).
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Israel Science FoundationUNSPECIFIED
European Research Council (ERC)FP7/2007-2013/MUNATOP
Microsoft Station QUNSPECIFIED
Deutsche Forschungsgemeinschaft (DFG)CRC/Transregio 183, EI 519/7-1
Record Number:CaltechAUTHORS:20181105-091729626
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20181105-091729626
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90633
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Nov 2018 17:39
Last Modified:09 Jul 2019 20:35

Repository Staff Only: item control page