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We have investigated the nature of ferromagnetic order and phase transitionsin two dimensional (2D) van der Waals (vdW) layered material, Fe$_4$GeTe$_2$through measurements of magnetization, magneto-caloric Effect (MCE), and heatcapacity. Fe$_4$GeTe$_2$ hosts a complex magnetic phase with two distincttransitions: paramagnetic to ferromagnetic at around $T_\text{C}$ $\sim$ 266 Kand another spin reorientation transition (SRT) at around $T_\text{SRT}$ $\sim$ 100 K. The magnetization measurements shows a prominent thermal hysteresis inproximity to $T_\text{SRT}$ at $H\parallel c$, which implies the first-ordernature of SRT. Reasonable MCE has been observed around both transitiontemperatures ( at around $T_\text{C}$, -$\Delta$S$_M^\text{max}$ = 1.95 and1.99 J.Kg$^{-1}$K$^{-1}$ and at around $T_\text{SRT}$,-$\Delta$S$_M^\text{max}$= 3.9 and 2.4 J.Kg$^{-1}$K$^{-1}$ along $H\parallelab$ and $H\parallel c$ respectively) at 50 kOe magnetic field change. The aboveresults reveal higher MCE value at $T_\text{SRT}$ compared to the values of MCEat $T_\text{C}$. The scaling analysis of MCE at $T_\text{C}$, shows that therescaled $\Delta$S$_M (T, H)$ follow a universal curve confirming thesecond-order character of the ferromagnetic transition. The same scalinganalysis of MCE breaks down at $T_\text{SRT}$ suggesting that SRT is not asecond order phase transition. The exponent $n$ from field dependence ofmagnetic entropy change presents a maximum of $|n|>2$ confirming thefirst-order nature of SRT.

Revisiting the magnetic ordering through anisotropic magnetic entropy change in quasi-two-dimensional metallic ferromagnet, Fe$_4$GeTe$_2$