These allowed energy levels (black dots) form a rare example of a quantum fractal known as "Hofstadter's butterfly", which shows self-repeating features on different scales. This plot shows how ...

In a discovery that brings a legendary quantum theory to life, physicists at Princeton University have directly observed ...

A team of scientists from Princeton University has measured the energies of electrons in a new class of quantum materials and has found them to follow a fractal pattern. Fractals are self ...

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.