The ground state of electrons in charge-neutral graphene in a strong magnetic field has not been conclusively identified. Thermal transport measurements narrow down the possible candidates, with evidence that the ground state does not conduct heat.
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Zhou, H. No heat flow in charge-neutral graphene. Nat. Phys. 20, 1849–1850 (2024). https://doi.org/10.1038/s41567-024-02674-y
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DOI: https://doi.org/10.1038/s41567-024-02674-y