Identifying Majorana vortex modes via nonlocal transport

Björn Sbierski, Max Geier, An Ping Li, Matthew Brahlek, Robert G. Moore, Joel E. Moore

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The combination of two-dimensional Dirac surface states with s-wave superconductivity is expected to generate localized topological Majorana zero modes in vortex cores. Putative experimental signatures of these modes have been reported for heterostructures of proximitized topological insulators, iron-based superconductors or certain transition metal dichalcogenides. Despite these efforts, the Majorana nature of the observed excitation is still under debate. We propose to identify the presence of Majorana vortex modes using a nonlocal transport measurement protocol originally employed for one-dimensional settings. In the case of an isolated subgap state, the protocol provides a spatial map of the ratio of local charge-and probability-density which offers a clear distinction between Majorana and ordinary fermionic modes. We show that these distinctive features survive in the experimentally relevant case of hybridizing vortex core modes.

Original languageEnglish
Article number035413
JournalPhysical Review B
Volume106
Issue number3
DOIs
StatePublished - Jul 15 2022

Funding

We acknowledge useful discussions with K. Flensberg. Computations were performed at the Lawrencium cluster at Lawrence Berkeley National Lab. B.S., A-P.L., M.B., R.G.M., and J.E.M. acknowledge support by the U.S. Department of Energy (DOE), Office of Science, National Quantum Information Science Research Centers, the Quantum Science Center (QSC), a National Quantum Information Science Research Center of the U.S. Department of Energy (DOE). B.S. acknowledges financial support by the German National Academy of Sciences Leopoldina through Grants No. LPDS 2018-12 and No. LPDR 2021-01. M.G. acknowledges support by the European Research Council (ERC) under the European Union' s Horizon 2020 research and innovation program under Grant Agreement No. No.~856526, and from the Deutsche Forschungsgemeinschaft (DFG) project Grant No. 277101999 within the CRC network TR 183 (subProject No. C01), and from the Danish National Research Foundation, the Danish Council for Independent Research | Natural Sciences.

FundersFunder number
National Quantum Information Science Research Center
National Quantum Information Science Research Centers
Quantum Science Center
U.S. Department of Energy
Office of Science
Natur og Univers, Det Frie Forskningsråd
Horizon 2020 Framework Programme
European Research Council
Deutsche ForschungsgemeinschaftC01, 277101999
Danmarks Grundforskningsfond
Horizon 2020856526
Deutsche Akademie der Naturforscher Leopoldina - Nationale Akademie der WissenschaftenLPDS 2018-12, LPDR 2021-01

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