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Specific heat measurements have been performed in the coupled dimer systemTlCuCl$_3$, which has a singlet ground state with the excitation gap $\Delta\simeq 7.5$K. The cusplike anomaly indicative of the 3D magnetic ordering wasclearly observed in magnetic fields higher than the critical field $H_c$corresponding to the gap $\Delta$. The phase boundary determined by the presentspecific heat measurements coincides with that determined by previousmagnetization measurements. The phase boundary can be described by the powerlaw $[ H_{\rm c}(T)-H_{\rm g} ] \propto T^{\phi}$ with $\phi=2.1(1)$. Thisresult supports the magnon Bose condensation picture for the field-inducedmagnetic ordering in TlCuCl$_3$ [Nikuni {\it et al}., Phys. Rev. Lett. {\bf 84}(2000) 5868].Comment: 12 pages, 5 figures, 8 eps file

physical review. b, condensed matter

Specific heat study of the field-induced magnetic ordering in the spin-gap system<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">TlCuCl</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Specific heat study of the field-induced magnetic ordering in the spin-gap systemTlCuCl3