The fractalized Hofstadter butterfly energy spectrum predicted for magnetically confined
fermions diffracted by a crystal lattice has remained beyond the reach of laboratory-
accessible magnetic fields. We find the geometrically frustrated spin system SrCu2 (BO3) 2
to provide a sterling demonstration of a system in which bosons confined by a magnetic and
lattice potential mimic the behavior of fermions in the extreme quantum limit, giving rise to a
sequence of plateaus at all magnetization mz/m sat= 1/q ratios 9≥ q≥ 2 and p/q= 2/9 (m sat …

The fractalized Hofstadter butterfly energy spectrum predicted for magnetically confined
fermions diffracted by a crystal lattice has remained beyond the reach of laboratory-
accessible magnetic fields. We find the geometrically frustrated spin system SrCu {sub 2}(BO
{sub 3}){sub 2} to provide a sterling demonstration of a system in which bosons confined by
a magnetic and lattice potential mimic the behavior of fermions in the extreme quantum limit,
giving rise to a sequence of plateaus at all magnetization m {sub z}/M {sub sat}= 1/q ratios 9 …