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. 2024 Feb 21;15:1607. doi: 10.1038/s41467-024-45801-2

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© The Author(s) 2024

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Fig. 2 — a Magnetoresistance and b contactless resistance showing quantum oscillations in the insulating state and metallic state, respectively. Insets show a derivative of magnetoresistance and b background subtracted contactless resistance as functions of inverse field. c Insulating state quantum oscillations have a field-independent frequency of 740 ± 60 T and metallic state quantum oscillations have a field-dependent frequency (H ∥ [100]). Lines are guides for the eye. d Angular dependence of the insulator–metal transition field (H_IM). Angles correspond to rotations in the [100]−[011] plane referenced to [100]. All measurements were at ≈650 mK.