  Strong geometrical frustration in magnets leads to exotic states, such as
spin liquids, spin supersolids and complex magnetic textures. SrCu2(BO3)2, a
spin-1/2 Heisenberg antiferromagnet in the archetypical Shastry-Sutherland
lattice, exhibits a rich spectrum of magnetization plateaus and stripe-like
magnetic textures in applied fields. The structure of these plateaus is still
highly controversial due to the intrinsic complexity associated with
frustration and competing length scales. We reveal new magnetic textures in
SrCu2(BO3)2 via magnetostriction and magnetocaloric measurements in fields up
to 97.4 Tesla. In addition to observing the low-field fine structure of the
plateaus with unprecedented resolution, the data also reveal lattice responses
at 82 T and at 73.6 T which we attribute, using a controlled density matrix
renormalization group approach, to the long-predicted 1/2-saturation plateau,
and to a new 2/5 plateau.
