Numerical search for diabolical points in the energy spectrum of the single-molecule magnet Fe₈

Certain diabolical points in the tunneling spectrum of the single-molecule magnet Fe₈ were previously believed to be have been eliminated as a result of a weak fourth-order anisotropy. As shown by Bruno, this is not so, and the points are only displaced in the magnetic field space along the medium anisotropy direction. The previously missing points are numerically located by following the lines of the Berry curvature. The importance of an experimental search for these rediscovered points is discussed.