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It has recently been suggested that the organic compoundNiCl$_2$-4SC(NH$_2$)$_2$ (DTN) exhibits Bose-Einstein Condensation (BEC) of theNi spin degrees of freedom for fields applied along the tetragonal c-axis. TheNi spins exhibit 3D XY-type antiferromagnetic order above a field-inducedquantum critical point at $H_{c1} \sim 2$ T. The Ni spin fluid can becharacterized as a system of effective bosons with a hard-core repulsiveinteraction in which the antiferromagnetic state corresponds to a Bose-Einsteincondensate (BEC) of the phase coherent $S = 1$ Ni spin system. We haveinvestigated the the high-field phase diagram and the occurrence of BEC in DTNby means of specific heat and magnetocaloric effect measurements to dilutionrefrigerator temperatures. Our results indicate that a key prediction of BEC issatisfied; the magnetic field-temperature quantum phase transition line$H_c(T)-H_{c1} \propto T^\alpha$ approaches a power-law at low temperatures,with an exponent $\alpha = 1.47 \pm 0.06$ at the quantum critical point,consistent with the BEC theory prediction of $\alpha = 1.5$.Comment: 4 pages, 4 figure

physical review letters

Bose-Einstein Condensation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>Nickel Spin Degrees of Freedom in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>NiCl</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mtext mathvariant="normal">−</mml:mtext><mml:mn>4</mml:mn><mml:mi>SC</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>NH</mml:mi><mml:mn>2</mml:mn…

Bose-Einstein Condensation ofS=1Nickel Spin Degrees of Freedom inNiCl2−4SC(NH2