A fractal energy pattern known as the Hofstadter butterfly has now been observed separately for each spin in a two-dimensional semiconductor, revealing a cascade of magnetic transitions.
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References
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Liu, X., Liu, Z. Hofstadter’s butterfly turns magnetic. Nat. Phys. 21, 1873–1874 (2025). https://doi.org/10.1038/s41567-025-03126-x
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DOI: https://doi.org/10.1038/s41567-025-03126-x