Applied magnetic fields underlie exotic quantum states, such as the fractional quantum Hall effect1 and Bose–Einstein condensation of spin excitations2. Superconductivity, however, is inherently antagonistic towards magnetic fields. Only in rare cases3,4,5 can these effects be mitigated over limited fields, leading to re-entrant superconductivity. Here, we report the coexistence of multiple high-field re-entrant superconducting phases in the spin-triplet superconductor UTe2 (ref. 6). We observe superconductivity in the highest magnetic field range identified for any re-entrant superconductor, beyond 65 T. Although the stability of superconductivity in these high magnetic fields challenges current theoretical models, these extreme properties seem to reflect a new kind of exotic superconductivity rooted in magnetic fluctuations7 and boosted by a quantum dimensional crossover8.
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We acknowledge helpful discussions with A. Lebed and V. Yakovenko. W.T.F. is grateful for the support of the Schmidt Science Fellows programme in partnership with the Rhodes Trust. Research at the University of Maryland was supported by the US National Science Foundation Division of Materials Research Award No. DMR-1610349 (support for sample preparation), the US Department of Energy (DOE) Award No. DE-SC-0019154 (support for experimental measurements) and the Gordon and Betty Moore Foundation’s EPiQS Initiative through Grant No. GBMF4419 (support for materials synthesis). Work performed at NHMFL was supported by NSF Cooperative Agreement No. DMR-1644779, the State of Florida, DOE and through the DOE Basic Energy Sciences Field Work Project Science in 100 T. A portion of this work was supported by the NHMFL User Collaboration Grants Program. Identification of commercial equipment does not imply recommendation or endorsement by NIST.
The authors declare no competing interests.
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