Spins behave quantum mechanically in solids. If there are strong interactions between spins, the effective repulsion force constraints the behavior of spins and intriguing quantum phenomena such as a magnon crystal, Bose-Einstein condensation (BEC), and spin liquid, appear when a magnetic field whose Zeeman energy is comparable to the interaction strength is applied at low temperatures. In the present study, such magnetic field induced quantum phase transitions have been investigated using ultrahigh magnetic fields exceeding 100 T. Specifically, the magnon crystals in SrCu2(BO3)2, the magnon BEC in TlCuCl3, and the spin liquid in a-RuCl3 were observed. In addition to the pure spin systems, systems that possess a strong spin-lattice coupling exhibit more variety of phenomena including structural phase transitions in the ultrahigh fields: The spin state BEC in LaCoO3 and the insulator-metal transition in V1-xWxO2 have been recently studied in magnetic fields of up to 600 T.
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