Thermodynamic properties of the field-induced Neel order of TlCuCl3

TlCuCl3 shows a quantum phase transition from a spin-gap phase to a Neel-ordered ground state as a function of magnetic field around H_{C0}~4.8T. From measurements of the specific heat c and the linear thermal expansion alpha_i we calculate the Grueneisen parameter Gamma_i(T)=alpha_i/c. Close to H_{C0} we find a diverging Gamma_i(T->0, in qualitative agreement with theoretical predictions. However, the predicted individual temperature dependencies of alpha(T) and c(T) are not reproduced by our experimental data.