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Description:

Periodic systems feature the Hofstadter butterfly spectrum produced by Brown– Zak minibands of electrons formed when magnetic field flux through the lat- tice unit cell is commensurate with flux quantum and manifested by magneto- transport oscillations. Quantum oscillations, such as Shubnikov – de Haas effect and Aharonov–Bohm effect, are also characteristic for electronic sys- tems with closed orbits in real space and reciprocal space. Here we show the intricate relation between these two phenomena by tracing quantum magneto-oscillations to Lifshitz transitions in graphene superlattices, where they persist even at relatively low fields and very much above liquid-helium temperatures. The oscillations originate from Aharonov–Bohm interference on cyclotron tra- jectories that form a kagomé-shaped network characteristic for Lifshitz tran- sitions. In contrast to Shubnikov - de Haas oscillations, the kagomé oscillations are robust against thermal smearing and they can be detected even when the Hofstadter butterfly spectrum is undermined by electron’s scattering. We expect that kagome ́ quantum oscillations are generic to rotationally-symmetric two-dimensional crystals close to Lifshitz transitions.

Rights:

• Creative Commons BY Attribution 4.0 International
  

Keyword: Magneto-oscillations, Lifshitz transitions, graphene

Date published: 2024-01-17

Publisher: American Chemical Society (ACS)

Journal:

• Nano Letters (ISSN: 15306984) vol. 24 issue. 2 p. 601-606

Funding:

• Engineering and Physical Sciences Research Council EP/W006502/1
• Engineering and Physical Sciences Research Council EP/S030719/1
• Engineering and Physical Sciences Research Council EP/V007033/1
• National Center of Competence in Research Quantum Science and Technology
• Horizon 2020 Framework Programme 862660
• Graphene Flagship
• H2020 European Research Council 951541

Manuscript type: Publisher's version (Version of record)

MDR DOI:

First published URL: https://doi.org/10.1021/acs.nanolett.3c03524

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Updated at: 2025-02-14 16:31:22 +0900

Published on MDR: 2025-02-14 16:31:22 +0900