In a first, physicists have directly seen Hofstadter’s butterfly—a long-sought-after fractal in the quantum realm ...

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

A quantum version of a fractal pattern, known as "Hofstadter's butterfly," has long been predicted, but the new study marks the first time it has been directly observed experimentally in a real ...

Scientists at Princeton University have made a groundbreaking discovery in quantum materials, revealing that electron energy levels in certain systems follow a fractal pattern known as Hofstadter’s ...

A simple lab mistake revealed the elusive quantum butterfly, confirming a 50-year-old theory in an unexpected graphene ...

The image shows a quantum version of a fractal pattern, known as “Hofstadter’s butterfly,” which has long been predicted, but the new study marks the first time it has been directly observed ...