Article Negative electronic compressibility in charge islands in twisted bilayer graphene

Robin J. Dolleman ; Alexander Rothstein ; Ammon Fischer ; Lennart Klebl ; Lutz Waldecker ; Kenji Watanabe SAMURAI ORCID (National Institute for Materials Science) ; Takashi Taniguchi SAMURAI ORCID (National Institute for Materials Science) ; Dante M. Kennes ; Florian Libisch ; Bernd Beschoten ; Christoph Stampfer

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Robin J. Dolleman, Alexander Rothstein, Ammon Fischer, Lennart Klebl, Lutz Waldecker, Kenji Watanabe, Takashi Taniguchi, Dante M. Kennes, Florian Libisch, Bernd Beschoten, Christoph Stampfer. Negative electronic compressibility in charge islands in twisted bilayer graphene. Physical Review B. 2024, 109 (15), 155430. https://doi.org/10.1103/physrevb.109.155430

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(abstract)

We report on the observation of negative electronic compressibility in twisted bilayer graphene for Fermi energies close to insulating states. To observe this negative compressibility, we take advantage of naturally occurring twist-angle domains that emerge during the fabrication of the samples, leading to the formation of charge islands. We accurately measure their capacitance using Coulomb oscillations, from which we infer the compressibility of the electron gas. Notably, we not only observe the negative electronic compressibility near correlated insulating states at integer filling, but also prominently near the band insulating state at full filling, located at the edges of both the flat and remote bands. Furthermore, the individual twist-angle domains yield a well-defined carrier density, enabling us to quantify the strength of electronic interactions and verify the theoretical prediction that the inverse negative capacitance contribution is proportional to the average distance between the charge carriers. A detailed analysis of our findings suggests that Wigner crystallization is the most likely explanation for the observed negative electronic compressibility.

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Keyword: twisted bilayer graphene, negative electronic compressibility, Wigner crystallization

Date published: 2024-04-23

Publisher: American Physical Society (APS)

Journal:

  • Physical Review B (ISSN: 1550235X) vol. 109 issue. 15 155430

Funding:

  • Deutsche Forschungsgemeinschaft
  • European Research Council 820254
  • Japan Society for the Promotion of Science 19H05790
  • Japan Society for the Promotion of Science 20H00354
  • Japan Society for the Promotion of Science 21H05233

Manuscript type: Author's version (Accepted manuscript)

MDR DOI: https://doi.org/10.48505/nims.5765

First published URL: https://doi.org/10.1103/physrevb.109.155430

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Updated at: 2025-09-17 12:30:26 +0900

Published on MDR: 2025-09-17 12:18:25 +0900