Critical properties and anisotropic magnetocaloric effect of hexagonal ferromagnet $\mathrm{Pr}\mathrm{Cr}{\mathrm{Ge}}_3$ single crystals were investigated. The critical exponents $\beta =0.352$ with a critical temperature $T_C=90.5\mathrm{K}$ and $\gamma =1.026$ with $T_C=90.6\mathrm{K}$ are obtained by the modified Arrott plot, whereas $\delta =3.98$ is deduced by a critical isotherm analysis. The critical exponents suggest a long-range magnetic coupling with the exchange distance decaying as $J\left(r\right)\sim r^{-4.6}$. Furthermore, the magnetic entropy change $-\mathrm{\Delta }{S}_M$ reaches a maximum value around $T_C$, i.e., $-\mathrm{\Delta }{S}_M\sim 3.2\left(1.8\right)\mathrm{J}{\mathrm{kg}}^{-1}{\mathrm{K}}^{-1}$ with in-plane (out-of-plane) field change of 5 T, verifying large magnetic anisotropy. The rescaled $-\mathrm{\Delta }{S}_M(T,H)$ plots collapse onto a universal curve independent of temperature and field, confirming a second-order magnetic phase transition and reliability of the obtained critical exponents.

中文翻译：

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准一维六角形铁磁体PrCrGe3的临界行为和各向异性磁热效应

六角形铁磁体的临界性质和各向异性磁热效应 $镨铬{\mathrm{通用电器}}_3$研究了单晶。关键指数$\beta =0.352$ 在临界温度下 ${Ť}_C=90.5\mathrm{ķ}$ 和 $\gamma =1.026$ 和 ${Ť}_C=90.6\mathrm{ķ}$ 是通过修改后的Arrott图获得的，而 $\delta =3.98$通过临界等温线分析得出。临界指数表明存在长距离磁耦合，且交换距离随$Ĵ（\mathrm{[R}）〜{\mathrm{[R}}^{-4.6}$。此外，磁熵变$-\mathrm{\Delta }{\mathrm{小号}}_{\mathrm{中号}}$ 达到最大值 ${Ť}_C$， IE， $-\mathrm{\Delta }{\mathrm{小号}}_{\mathrm{中号}}〜3.2（1.8）\mathrm{Ĵ}{\mathrm{公斤}}^{-\mathrm{1个}}{\mathrm{ķ}}^{-\mathrm{1个}}$平面内（平面外）磁场变化为5 T，证明了较大的磁各向异性。重新缩放$-\mathrm{\Delta }{\mathrm{小号}}_{\mathrm{中号}}（Ť，H）$ 曲线折叠到与温度和场无关的通用曲线上，从而确认了所获得的临界指数的二阶磁性相变和可靠性。