Effective Field Based on the Exchange Interaction in Gd₃Ga₅O₁₂ under Low and Moderate Magnetic Field at Low Temperature

The roles of the exchange interaction between different magnetic ions in the gadolinium gallium garnet Gd₃Ga₅O₁₂ are systematically investigated. The effective field based on the exchange interaction is expressed as functions of the temperature T and applied field H_e. Furthermore, the effects of T and H_e on the magnetic moment and the entropy of Gd₃Ga₅O₁₂ are studied in the ranges of 0<H_e<9 T and 3<T<40 K. The computational results are consistent with the experimental data. Our study reveals that the applied field and temperature have important influences on the exchange interaction of Gd₃Ga₅O₁₂ at low temperature.