Published March 2025 | Version Supplemental material
Journal Article Open

Nematicity and orbital depairing in superconducting Bernal bilayer graphene

  • 1. ROR icon University of California, Santa Barbara
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon Weizmann Institute of Science
  • 4. ROR icon University of California, Berkeley
  • 5. ROR icon National Institute for Materials Science

Abstract

Superconductivity is a common feature of graphite allotropes, having been observed in Bernal bilayers, rhombohedral trilayers and a wide variety of angle-misaligned multilayers. Despite notable differences in the electronic structure of these systems, supporting the graphite on a WSe2 substrate has been consistently observed to expand the range of the superconductivity in terms of carrier density and temperature. Here we report the observation of two distinct superconducting states in Bernal bilayer graphene with strong proximity-induced Ising spin–orbit coupling. Our quantum oscillation measurements show that, although the normal state of the first superconducting phase is consistent with the single-particle band structure, the second emerges from a nematic normal state with broken rotational symmetry. Both superconductors are robust to in-plane magnetic fields, but neither reach fields expected for spin–valley-locked Ising superconductors. The Fermi surface geometry of the first superconducting phase suggests that the superconductivity is limited by orbital depairing arising from the imperfect layer polarization of the electron wavefunctions. Finally, an analysis of transport and thermodynamic compressibility measurements in the second superconducting phase shows that the proximity to isospin phase boundaries, observed in other rhombohedral graphene allotropes, is probably coincidental, thus constraining theories of the pairing mechanisms in these systems.

Copyright and License

© 2025 Springer Nature Limited.

Acknowledgement

We acknowledge discussions with M. Serbyn, A. Ghazaryan, A. H. MacDonald, Z. Dong, M. Khodas and P. A. Lee. The work was supported by the Office of Naval Research (award N00014-20-1-2609) and the Gordon and Betty Moore Foundation (award GBMF9471). The work at Caltech was supported by an NSF-CAREER award (DMR-1753306). K.W. and T.T. acknowledge support from the Elemental Strategy Initiative conducted by MEXT, Japan (grant no. JPMXP0112101001) and JSPSKAKENHI (grant nos. 19H05790, 20H00354 and 21H05233). E.B. and Y.V. were supported by NSF-BSF award DMR-2310312 and by the European Research Council under grant HQMAT (grant agreement no. 817799).

Data Availability

All the experimental data used in this work are available via Zenodo at https://doi.org/10.5281/zenodo.14370753 (ref. 57). Source data are provided with this paper.

Supplemental Material

Supplementary Information

Band structure calculations, critical temperature calculations with an in-plane magnetic field, supplementary discussion on the competing order state and Supplementary Figs. 1–5.

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Additional details

Additional titles

Alternative title
Ising Superconductivity and Nematicity in Bernal Bilayer Graphene with Strong Spin Orbit Coupling
Alternative title
Nematicity and Orbital Depairing in Superconducting Bernal Bilayer Graphene with Strong Spin Orbit Coupling

Related works

Describes
Journal Article: https://rdcu.be/ewZTw (ReadCube)
Is new version of
Discussion Paper: arXiv:2303.00742 (arXiv)
Is supplemented by
Supplemental Material: https://static-content.springer.com/esm/art%3A10.1038%2Fs41567-024-02776-7/MediaObjects/41567_2024_2776_MOESM1_ESM.pdf (URL)
Dataset: 10.5281/zenodo.14370753 (DOI)

Funding

Office of Naval Research
N00014-20-1-2609
Gordon and Betty Moore Foundation
GBMF9471
National Science Foundation
DMR-1753306
Ministry of Education, Culture, Sports, Science and Technology
JPMXP0112101001
Japan Society for the Promotion of Science
19H05790
Japan Society for the Promotion of Science
20H00354
Japan Society for the Promotion of Science
21H05233
National Science Foundation
DMR-2310312
European Research Council
HQMAT 817799

Dates

Accepted
2024-12-19
Available
2025-02-10
Published online

Caltech Custom Metadata

Caltech groups
Institute for Quantum Information and Matter, Division of Engineering and Applied Science (EAS), Division of Physics, Mathematics and Astronomy (PMA)
Publication Status
Published