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Identifying trivial and Majorana zero-energy modes using the Majorana polarization

Awoga, Oladunjoye A. LU and Cayao, Jorge (2024) In Physical Review B 110(16).
Abstract

In this work we consider superconductor-semiconductor hybrids containing both trivial and Majorana zero modes and explore their signatures in the Majorana polarization. In particular, we consider trivial zero-energy states due to confinement and disorder, which seem to be very likely experimental scenarios. We show that the Majorana polarization is able to characterize the topological phase transition as well as the emergence of Majorana zero modes even when trivial zero-energy states proliferate. Notably, the Majorana polarization inherits direct information about spatial correlations which are then the key for distinguishing Majorana and trivial zero modes. We demonstrate the utility of the Majorana polarization in... (More)

In this work we consider superconductor-semiconductor hybrids containing both trivial and Majorana zero modes and explore their signatures in the Majorana polarization. In particular, we consider trivial zero-energy states due to confinement and disorder, which seem to be very likely experimental scenarios. We show that the Majorana polarization is able to characterize the topological phase transition as well as the emergence of Majorana zero modes even when trivial zero-energy states proliferate. Notably, the Majorana polarization inherits direct information about spatial correlations which are then the key for distinguishing Majorana and trivial zero modes. We demonstrate the utility of the Majorana polarization in normal-superconductor junctions and superconductor-normal-superconductor Josephson junctions. Our results support the interpretation of the Majorana polarization as a real-space topological indicator.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B
volume
110
issue
16
article number
165404
pages
11 pages
publisher
American Physical Society
external identifiers
  • scopus:85205967184
ISSN
2469-9950
DOI
10.1103/PhysRevB.110.165404
language
English
LU publication?
yes
additional info
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.
id
89e89350-b825-43ff-89a7-6d3ff52d88fb
date added to LUP
2024-10-23 11:36:53
date last changed
2025-04-04 15:14:45
@article{89e89350-b825-43ff-89a7-6d3ff52d88fb,
  abstract     = {{<p>In this work we consider superconductor-semiconductor hybrids containing both trivial and Majorana zero modes and explore their signatures in the Majorana polarization. In particular, we consider trivial zero-energy states due to confinement and disorder, which seem to be very likely experimental scenarios. We show that the Majorana polarization is able to characterize the topological phase transition as well as the emergence of Majorana zero modes even when trivial zero-energy states proliferate. Notably, the Majorana polarization inherits direct information about spatial correlations which are then the key for distinguishing Majorana and trivial zero modes. We demonstrate the utility of the Majorana polarization in normal-superconductor junctions and superconductor-normal-superconductor Josephson junctions. Our results support the interpretation of the Majorana polarization as a real-space topological indicator.</p>}},
  author       = {{Awoga, Oladunjoye A. and Cayao, Jorge}},
  issn         = {{2469-9950}},
  language     = {{eng}},
  month        = {{10}},
  number       = {{16}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review B}},
  title        = {{Identifying trivial and Majorana zero-energy modes using the Majorana polarization}},
  url          = {{http://dx.doi.org/10.1103/PhysRevB.110.165404}},
  doi          = {{10.1103/PhysRevB.110.165404}},
  volume       = {{110}},
  year         = {{2024}},
}