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Home Science & Environment

Hofstadter’s butterfly: Physicists capture strange fractal pattern for the first time todayheadline

February 26, 2025
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Hofstadter's butterfly: Physicists capture strange fractal pattern for the first time
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Theoretical calculation of the energy levels of electrons in twisted layers of graphene in a magnetic field, showing the fractal “butterfly” pattern predicted by Douglas Hofstadter

Yazdani Lab, Princeton University

A fractal butterfly pattern produced by an unusual configuration of magnetic fields, first predicted almost 50 years ago, has been seen in detail for the first time in a twisted piece of graphene.

While a physics student in 1976, the computer scientist Douglas Hofstadter predicted that when certain two-dimensional crystals were placed in magnetic fields, their electrons’ energy levels should produce a strange pattern that looks the same no…

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