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We have studied the influence of external pressure up to 1 GPa on themagnetic transitions of the orthorhombic Haldane-spin chain compound Tb2BaNiO5an exotic multiferroic material. This parent compound is known to undergoN\'eel ordering at TN1= 63 K and another magnetic transition at TN2= 25K atwhich ferroelectricity sets in, however, without any change in the magneticsymmetry, but with only a sharp change in the canting angle of Tb 4f and Ni 3dmagnetic moments. There is a subtle difference in the antiferromagnetic stateabove and below TN2, which is supported by the fact that there is ametamagnetic transition below TN2only (for 5 K, at about 60 kOe). We reporthere that, with the application of external pressure, there is an upward shiftof TN1, while TN2 shifts towards lower temperatures. It is interesting that thetwo magnetic transitions in the same compound behave differently under pressureand the opposite behavior at TN2 is attributed to local distortion leading toferroelectricity. The results are augmented by temperature dependent x-raydiffraction and positive chemical pressure studies. The chemical pressurecaused by the isoelectronic doping at Ba site by Sr reduces both the transitiontemperatures. Clearly, the external pressure favors antiferromagnetic coupling(that is, leading to TN1 enhancement), whereas the chemical pressure reducesTN1, suggesting important role of the changes in local hybridization induced bydoping on magnetism in this material.

Pressure-induced anomalies in the magnetic transitions of the exotic multiferroic material, Tb2BaNiO5