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The magnetization process of the orthogonal-dimer antiferromagnet SrCu2(BO3)2is investigated in high magnetic fields of up to 118 T. A 1/2 plateau isclearly observed in the field range 84 to 108 T in addition to 1/8, 1/4 and 1/3plateaux at lower fields. Using a combination of state-of-the-art numericalsimulations, the main features of the high-field magnetization, a 1/2 plateauof width 24 T, a 1/3 plateau of width 34 T, and no 2/5 plateau, are shown toagree quantitatively with the Shastry-Sutherland model if the ratio of inter-to intra-dimer exchange interactions J'/J=0.63. It is further predicted thatthe intermediate phase between the 1/3 and 1/2 plateau is not uniform butconsists of a 1/3 supersolid followed by a 2/5 supersolid and possibly adomain-wall phase, with a reentrance into the 1/3 supersolid above the 1/2plateau.

Magnetization of SrCu2(BO3)2 in ultrahigh magnetic fields up to 118 T