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The quantum magnet NiCl$_2$-4SC(NH$_2$)$_2$ is a candidate for observingBose-Einstein Condensation of spin degrees of freedom in applied magneticfields. An XY antiferromagnetic ordered state occurs in a dome-shaped region ofthe temperature-field phase diagram between H$_{c1}$ = 2.1 T and H$_{c2}$ =12.6 T and below 1.2 K. BEC corresponds to the field-induced quantum phasetransition into the ordered state. We investigate magnetostriction in singlecrystals of this compound at dilution refrigerator temperatures in magneticfields up to 18 T, and as a function of magnetic field angle. We show thatsignificant changes in the lattice parameters are induced by magnetic fields,and argue that these result from antiferromagnetic couplings between the Nispins along the tetragonal c-axis. The magnetic phase diagram as a function oftemperature, field, and field angle can be extracted from these data. Wediscuss the implications of these results to Bose-Einstein Condensation in thissystem.Comment: Submitted to Journal of Applied Physic

Magnetostriction in the Bose-Einstein condensate quantum magnet NiCl2–4SC(NH2)2 (Invited)