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Topological superconductivity in Fibonacci quasicrystals

Kobiałka, Aksel ; Awoga, Oladunjoye A. LU ; Leijnse, Martin LU ; Domański, Tadeusz ; Holmvall, Patric and Black-Schaffer, Annica M. (2024) In Physical Review B 110(13).
Abstract

We investigate the properties of a Fibonacci quasicrystal (QC) arrangement of a one-dimensional topological superconductor, such as a magnetic atom chain deposited on a superconducting surface. We uncover a general mutually exclusive competition between the QC properties and the topological superconducting phase with Majorana bound states (MBS): there are no MBS inside the QC gaps and the MBS never behave as QC subgap states and, likewise, no critical or winding QC subgap states exist inside the topological superconducting gaps. Surprisingly, despite this competition, we find that the QC is still highly beneficial for realizing topological superconductivity with MBS. It both leads to additional large nontrivial regions with MBS in... (More)

We investigate the properties of a Fibonacci quasicrystal (QC) arrangement of a one-dimensional topological superconductor, such as a magnetic atom chain deposited on a superconducting surface. We uncover a general mutually exclusive competition between the QC properties and the topological superconducting phase with Majorana bound states (MBS): there are no MBS inside the QC gaps and the MBS never behave as QC subgap states and, likewise, no critical or winding QC subgap states exist inside the topological superconducting gaps. Surprisingly, despite this competition, we find that the QC is still highly beneficial for realizing topological superconductivity with MBS. It both leads to additional large nontrivial regions with MBS in parameter space, that are topologically trivial in crystalline systems, and increases the topological gap protecting the MBS. We also find that shorter approximants of the Fibonacci QC display the largest benefits. As a consequence, our results promote QCs, and especially their short approximants, as an appealing platform for improved experimental possibilities to realize MBS as well as generally highlight the fundamental interplay between different topologies.

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type
Contribution to journal
publication status
published
subject
in
Physical Review B
volume
110
issue
13
article number
134508
pages
20 pages
publisher
American Physical Society
external identifiers
  • scopus:85206471898
ISSN
2469-9950
DOI
10.1103/PhysRevB.110.134508
language
English
LU publication?
yes
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Publisher Copyright: © 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by "https://www.kb.se/samverkan-och-utveckling/oppen-tillgang-och-bibsamkonsortiet/bibsamkonsortiet.html"Bibsam.
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46ef459d-66b1-43df-bedd-c0f059742f93
date added to LUP
2024-10-28 22:09:35
date last changed
2025-04-04 14:42:55
@article{46ef459d-66b1-43df-bedd-c0f059742f93,
  abstract     = {{<p>We investigate the properties of a Fibonacci quasicrystal (QC) arrangement of a one-dimensional topological superconductor, such as a magnetic atom chain deposited on a superconducting surface. We uncover a general mutually exclusive competition between the QC properties and the topological superconducting phase with Majorana bound states (MBS): there are no MBS inside the QC gaps and the MBS never behave as QC subgap states and, likewise, no critical or winding QC subgap states exist inside the topological superconducting gaps. Surprisingly, despite this competition, we find that the QC is still highly beneficial for realizing topological superconductivity with MBS. It both leads to additional large nontrivial regions with MBS in parameter space, that are topologically trivial in crystalline systems, and increases the topological gap protecting the MBS. We also find that shorter approximants of the Fibonacci QC display the largest benefits. As a consequence, our results promote QCs, and especially their short approximants, as an appealing platform for improved experimental possibilities to realize MBS as well as generally highlight the fundamental interplay between different topologies.</p>}},
  author       = {{Kobiałka, Aksel and Awoga, Oladunjoye A. and Leijnse, Martin and Domański, Tadeusz and Holmvall, Patric and Black-Schaffer, Annica M.}},
  issn         = {{2469-9950}},
  language     = {{eng}},
  month        = {{10}},
  number       = {{13}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review B}},
  title        = {{Topological superconductivity in Fibonacci quasicrystals}},
  url          = {{http://dx.doi.org/10.1103/PhysRevB.110.134508}},
  doi          = {{10.1103/PhysRevB.110.134508}},
  volume       = {{110}},
  year         = {{2024}},
}