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A study by specific heat of a polycrystalline sample of the low-dimensionalmagnetic system Y$_2$BaCuO$_5$ is presented. Magnetic fields up to 14 T areapplied and permit to extract the ($T$,$H$) phase diagram. Below$\mu_0H^*\simeq2$ T, the N\'eel temperature, associated with athree-dimensional antiferromagnetic long-range ordering, is constant and equals$T_N=15.6$ K. Above $H^*$, $T_N$ increases linearly with $H$ and afield-induced increase of the entropy at $T_N$ is related to the presence of anisosbestic point at $T_X\simeq20$ K, where all the specific heat curves cross.A comparison is made between Y$_2$BaCuO$_5$ and the quasi-two-dimensionalmagnetic systems BaNi$_{2}$V$_{2}$O$_{8}$, Sr$_2$CuO$_2$Cl$_2$, andPr$_2$CuO$_4$, for which very similar phase diagrams have been reported. Aneffective field-induced magnetic anisotropy is proposed to explain these phasediagrams.

Heat Capacity and Magnetic Phase Diagram of the Low-Dimensional Antiferromagnet Y$_2$BaCuO$_5$