Anisotropic magnetocaloric effect and critical behavior in CrSbSe 3

We report anisotropic magnetocaloric effect and critical behavior in a quasi-one-dimensional ferromagnetic ${\mathrm{CrSbSe}}_{3}$ single crystal. The maximum magnetic entropy change $\ensuremath{-}\mathrm{\ensuremath{\Delta}}{S}_{M}^{\mathrm{max}}$ is 2.16 J ${\mathrm{kg}}^{\ensuremath{-}1}\phantom{\rule{0.16em}{0ex}}{\mathrm{K}}^{\ensuremath{-}1}$ for the easy $a$ axis (2.03 J ${\mathrm{kg}}^{\ensuremath{-}1}\phantom{\rule{0.16em}{0ex}}{\mathrm{K}}^{\ensuremath{-}1}$ for the hard $b$ axis) and the relative cooling power RCP is 163.1 J ${\mathrm{kg}}^{\ensuremath{-}1}$ for the easy $a$ axis (142.1 J ${\mathrm{kg}}^{\ensuremath{-}1}$ for the hard $b$ axis) near ${T}_{c}$ with a magnetic field change of 50 kOe. The magnetocrystalline anisotropy constant ${K}_{u}$ is estimated to be 148.5 kJ ${\mathrm{m}}^{\ensuremath{-}3}$ at 10 K, decreasing to 39.4 kJ ${\mathrm{m}}^{\ensuremath{-}3}$ at 70 K. The rescaled $\mathrm{\ensuremath{\Delta}}{S}_{M}(T,H)$ curves along all three axes collapse onto a universal curve, respectively, confirming the second-order ferromagnetic transition. Further critical behavior analysis around ${T}_{c}\ensuremath{\sim}70\phantom{\rule{4pt}{0ex}}\mathrm{K}$ gives that the critical exponents $\ensuremath{\beta}=0.26(1)$, $\ensuremath{\gamma}=1.32(2)$, and $\ensuremath{\delta}=6.17(9)$ for $H\ensuremath{\parallel}a$, while $\ensuremath{\beta}=0.28(2)$, $\ensuremath{\gamma}=1.02(1)$, and $\ensuremath{\delta}=4.14(16)$ for $H\ensuremath{\parallel}b$. The determined critical exponents suggest that the anisotropic magnetic coupling in ${\mathrm{CrSbSe}}_{3}$ is strongly dependent on orientations of the applied magnetic field.