Theoretical Study of the Critical Behavior and Magnetocaloric Effect in Rare-Earth Perovskite EuTiO3

The critical behavior and the magnetocaloric effect have been researched in rare-earth perovskite EuTiO\(_{\varvec{3}}\). Using classical Monte Carlo method, we simulate the phase transition behavior of EuTiO\(_{\varvec{3}}\) on the Heisenberg model with uniaxial anisotropy and obtain the phase transition temperature \(\varvec{T}_{\varvec{n}} \varvec{=5.4}\) K, which is almost consistent with the experimental results. The entropy change under isothermal \(\varvec{\Delta S}\) and temperature change under adiabatic \(\varvec{\Delta } {\varvec{T}_{\varvec{ad}}}\) are calculated for different external magnetic fields. The results of the relative cooling power (RCP) are linear with the magnetic field. The critical exponents \(\varvec{\beta }\)=0.269, \(\varvec{\gamma }\)=1.250, and \(\varvec{\delta }\)=5.602 are obtained by the power laws. These results are almost identical to those calculated using the MCE scaling law.