Fig. 2: Magnetization end isothermal entropy change.

Temperature-dependent magnetization of a Gd5Ge4, b Gd5Si0.25Ge3.75, and c Gd5Si0.5Ge3.5. During cooling and heating, the data were measured under various applied magnetic fields up to 10 T. Arrows around the thermal hysteresis indicate the sweep directions. The gray dotted lines indicate the second-order PM-AFM transitions. The insets in (a–c) show phase diagrams based on the magnetization features extracted from cool-down sweeps. The isothermal entropy changes for d Gd5Ge4, e Gd5Si0.25Ge3.75, and f Gd5Si0.5Ge3.5 are calculated from the magnetization data using Eq. (1). Light thick lines show the envelopes of the reversible areas of ΔST peaks, formed by the overlapping area of up and down sweeps.