Hybrid semiconductor–superconductor devices hold great promise for realizing topological quantum computing with Majorana zero modes1,2,3,4,5. However, multiple claims of Majorana detection, based on either tunnelling6,7,8,9,10 or Coulomb blockade (CB) spectroscopy11,12, remain disputed. Here we devise an experimental protocol that allows us to perform both types of measurement on the same hybrid island by adjusting its charging energy via tunable junctions to the normal leads. This method reduces ambiguities of Majorana detections by checking the consistency between CB spectroscopy and zero-bias peaks in non-blockaded transport. Specifically, we observe junction-dependent, even–odd modulated, single-electron CB peaks in InAs/Al hybrid nanowires without concomitant low-bias peaks in tunnelling spectroscopy. We provide a theoretical interpretation of the experimental observations in terms of low-energy, longitudinally confined island states rather than overlapping Majorana modes. Our results highlight the importance of combined measurements on the same device for the identification of topological Majorana zero modes.
We thank P. Krogstrup for providing us with the NW materials. We thank A. Higginbotham, E. J. H. Lee, C. Marcus and S. Vaitiekėnas for helpful discussions and G. Steffensen for his input on the diffusive Little-Parks theory. This research was supported by the Scientific Service Units of ISTA through resources provided by the MIBA Machine Shop and the nanofabrication facility; the NOMIS Foundation; the CSIC Interdisciplinary Thematic Platform (PTI+) on Quantum Technologies (PTI-QTEP+). A.H. acknowledges support from H2020-MSCA-IF-2018/844511. ICN2 also acknowledges funding from Generalitat de Catalunya 2017 SGR 327. ICN2 is supported by the Severo Ochoa Program from Spanish MINECO (Grant no. SEV-2017-0706) and is funded by the CERCA Programme/Generalitat de Catalunya. Part of the present work has been performed in the framework of Universitat Autònoma de Barcelona Materials Science PhD programme. Authors acknowledge the use of instrumentation as well as the technical advice provided by the National Facility ELECMI ICTS, node ‘Laboratorio de Microscopías Avanzadas’ at University of Zaragoza. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement no. 823717-ESTEEM3. This study was supported by MCIN with funding from European Union NextGenerationEU (PRTR-C17.I1) and Generalitat de Catalunya. This research is part of the CSIC programme for the Spanish Recovery, Transformation and Resilience Plan funded by the Recovery and Resilience Facility of the European Union, established by the Regulation (EU) 2020/2094. We thank support from Grant PGC2018-097018-BI00, project FlagERA TOPOGRAPH (PCI2018-093026) and project NANOGEN (PID2020-116093RB-C43), funded by MCIN/AEI/10.13039/501100011033/ and by ‘ERDF A way of making Europe’, by the European Union. M. Botifoll acknowledges support from SUR Generalitat de Catalunya and the EU Social Fund (project ref. 2020 FI 00103).
Valentini M, Borovkov M, Prada E, et al. Majorana-like Coulomb spectroscopy in the absence of zero-bias peaks. Nature. 2022;612(7940):442-447. doi:10.1038/s41586-022-05382-w
Valentini, M., Borovkov, M., Prada, E., Martí-Sánchez, S., Botifoll, M., Hofmann, A. C., … Katsaros, G. (2022). Majorana-like Coulomb spectroscopy in the absence of zero-bias peaks. Nature. Springer Nature. https://doi.org/10.1038/s41586-022-05382-w
Valentini, Marco, Maksim Borovkov, Elsa Prada, Sara Martí-Sánchez, Marc Botifoll, Andrea C Hofmann, Jordi Arbiol, Ramón Aguado, Pablo San-Jose, and Georgios Katsaros. “Majorana-like Coulomb Spectroscopy in the Absence of Zero-Bias Peaks.” Nature. Springer Nature, 2022. https://doi.org/10.1038/s41586-022-05382-w.
M. Valentini et al., “Majorana-like Coulomb spectroscopy in the absence of zero-bias peaks,” Nature, vol. 612, no. 7940. Springer Nature, pp. 442–447, 2022.
Valentini M, Borovkov M, Prada E, Martí-Sánchez S, Botifoll M, Hofmann AC, Arbiol J, Aguado R, San-Jose P, Katsaros G. 2022. Majorana-like Coulomb spectroscopy in the absence of zero-bias peaks. Nature. 612(7940), 442–447.
Valentini, Marco, et al. “Majorana-like Coulomb Spectroscopy in the Absence of Zero-Bias Peaks.” Nature, vol. 612, no. 7940, Springer Nature, 2022, pp. 442–47, doi:10.1038/s41586-022-05382-w.
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