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We report heat capacity measurements of SrCu$_2$(BO$_3$)$_2$ under highpressure along with simulations of relevant quantum spin models and map out the$(P,T)$ phase diagram of the material. We find a first-order quantum phasetransition between the low-pressure quantum dimer paramagnet and a phase withsignatures of a plaquette-singlet state below T = $2$ K. At higher pressures,we observe a transition into a previously unknown antiferromagnetic state below$4$ K. Our findings can be explained within the two-dimensionalShastry-Sutherland quantum spin model supplemented by weak inter-layercouplings. The possibility to tune SrCu$_2$(BO$_3$)$_2$ between theplaquette-singlet and antiferromagnetic states opens opportunities forexperimental tests of quantum field theories and lattice models involvingfractionalized excitations, emergent symmetries, and gauge fluctuations.

Quantum phases of SrCu2(BO3)2 from high-pressure thermodynamics