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Grant support

Research supported by the Spanish Ministry of Science, Innovation and Universities through Grants No. FIS2015-65706-P, No. FIS2015-64654-P, No. FIS2016-80434-P, No. PCI2018-093026, and No. PGC2018-097018-B-I00 (AEI/FEDER, EU), the Ramon y Cajal program Grant No. RYC-2011-09345, the Maria de Maeztu Program for Units of Excellence in R&D (Grant No. MDM-2014-0377), and the European Union's Horizon 2020 research and innovation program under FETOPEN Grant Agreement No. 828948. We also acknowledge support from CSIC Research Platform on Quantum Technologies PTI-001.

Analysis of institutional authors

Prada Nuñez, ElsaAuthor

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February 3, 2022
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Even-odd effect and Majorana states in full-shell nanowires

Publicated to:PHYSICAL REVIEW RESEARCH. 2 (2): - 2020-05-19 2(2), DOI: 10.1103/PhysRevResearch.2.023171

Authors: Penaranda, Fernando; Aguado, Ramon; San-Jose, Pablo; Prada, Elsa;

Affiliations

CSIC, Inst Ciencia Mat Madrid ICMM, Sor Juana Ines de la Cruz 3, Madrid 28049, Spain - Author
CSIC, Res Platform Quantum Technol, Sor Juana Ines de la Cruz 3, Madrid 28049, Spain - Author
Univ Autonoma Madrid, Condensed Matter Phys Ctr IFIMAC, Dept Fis Mat Condensada, E-28049 Madrid, Spain - Author
Univ Autonoma Madrid, Inst Nicolas Cabrera, E-28049 Madrid, Spain - Author

Abstract

Full-shell nanowires (semiconducting nanowires fully coated with a superconducting shell) have been recently presented as an alternative means to create Majorana zero modes. In contrast to partially coated nanowires, it has been argued that full-shell nanowires do not require high magnetic fields and low densities to reach a putative topological regime. Here we present a theoretical study of these devices taking into account all the basic ingredients, including a charge distribution spread across the section of the nanowire, required to qualitatively explain recent experimental results (Vaitiekenas et al., arXiv:1809.05513). We derive a criterion, dependent on the even-odd occupation of the radial subbands with zero angular momentum, for the appearance of Majorana zero modes. In the absence of angular subband mixing, these give rise to strong zero-bias anomalies in tunneling transport in roughly half of the system's parameter space under an odd number of flux quanta. Due to their coexistence with gapless subbands, the zero modes do not enjoy generic topological protection. Depending on the details of subband mixing in realistic devices, they can develop a topological minigap, acquire a finite lifetime, or even be destroyed.

Keywords

FermionsFieldGapQuantized magnetic fluxTopological superconductivity

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal PHYSICAL REVIEW RESEARCH, Q4 Agency Scopus (SJR), its regional focus and specialization in Physics and Astronomy (Miscellaneous), give it significant recognition in a specific niche of scientific knowledge at an international level.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.09. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Field Citation Ratio (FCR) from Dimensions: 6.65 (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-04, the following number of citations:

  • WoS: 14

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-04:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 19.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 19 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 2.
  • The number of mentions on the social network X (formerly Twitter): 4 (Altmetric).

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Penaranda, F) and Last Author (PRADA NUÑEZ, ELSA).

the author responsible for correspondence tasks has been Penaranda, F.