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Grant support

We thank Bernard van Heck for his input. This research is supported by the Spanish Ministry Of Science And Innovation through Grants No. PGC2018-097018-B-I00, No. FIS2016-80434-P (AEI/FEDER, EU), No. BES-2016-078122 (FPI programme), and No. RYC-2011-09345 (Ramon y Cajal programme). The EU Horizon 2020 research and innovation program (FETOPEN Grant Agreement No. 828948) and the CSIC Research Platform on Quantum Technologies PTI-001 are also acknowledged.

Analysis of institutional authors

Prada Nuñez, ElsaAuthor

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February 3, 2022
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Majorana oscillations and parity crossings in semiconductor nanowire-based transmon qubits

Publicated to:PHYSICAL REVIEW RESEARCH. 2 (3): - 2020-09-25 2(3), DOI: 10.1103/PhysRevResearch.2.033493

Authors: Avila, J.; Prada, E.; San-Jose, P.; Aguado, R.;

Affiliations

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

Abstract

We show that the microwave (MW) spectra in semiconductor-nanowire-based transmon qubits provide a strong signature of the presence of Majorana bound states in the junction. This occurs as an external magnetic field tunes the wire into the topological regime and the energy splitting of the emergent Majorana modes oscillates around zero energy owing to their wave function spatial overlap in finite-length wires. In particular, we discuss how these Majorana oscillations, and the concomitant fermion parity switches in the ground state of the junction, result in distinct spectroscopic features-in the form of an intermittent visibility of absorption lines-that strongly deviate from standard transmon behavior. In contrast, nonoscillating zero modes, such as topologically trivial Andreev bound states resulting from sufficiently smooth potentials, exhibit an overall standard transmon response. These differences in the MW response could help determine whether the junction contains topological Majoranas or not.

Keywords

Physics and astronomy (all)Physics and astronomy (miscellaneous)Physics, multidisciplinary

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: 1.01. 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: 5.32 (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-05, the following number of citations:

  • WoS: 13

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 2025-07-05:

  • 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: 18.
  • 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: 18 (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: 3.5.
  • The number of mentions on the social network X (formerly Twitter): 8 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.