Effects of exchange interaction and spin-fluctuation on the magnetic and magneto-optic properties of NdF3

The exchange interaction between the electrons in the different magnetic ions and the spin-fluctuation of the magnetic ions exist in the paramagnetic media NdFexchange interaction, spin-fluctuation, magnetic and MO properties, NdFexchange interaction, spin-fluctuation, magnetic and MO properties, NdFexchange interaction, spin-fluctuation, magnetic and MO properties, NdF$_{3}$ crystalProject supported by the Science and Technology Foundation of China University of Mining and Technology (Grant No OK061066).7820L, 75202/4/2008 12:00:00 AMThe exchange interaction between the electrons in the different magnetic ions and the spin-fluctuation of the magnetic ions exist in the paramagnetic media NdFexchange interaction, spin-fluctuation, magnetic and MO properties, NdFexchange interaction, spin-fluctuation, magnetic and MO properties, NdF$_{3}$ crystalProject supported by the Science and Technology Foundation of China University of Mining and Technology (Grant No OK061066).7820L, 75202/4/2008 12:00:00 AMThe exchange interaction between the electrons in the different magnetic ions and the spin-fluctuation of the magnetic ions exist in the paramagnetic media NdF$_{3}$. The exchange interaction between the electrons in the different magnetic ions may be equivalent to an effective field $H_{in}$ that is in direct proportion to the magnetization $\bm M$. The spin-fluctuation of the magnetic ions leads the coefficient of the effective field to vary with temperature. The effective field is given as $\bm H_{\rm in} = - (0.75 + 0.22{\rm T})\times 10^{^{ - 5}}\bm M$ in NdF$_{3}$. When the secondary crystal field effect is taken into account, the magnetic susceptibility and Verdet constant are calculated for NdF$_{3}$ by means of the effective field $\bm H_{\rm in} $ and the applied field $\bm H_e$. The calculated results are in agreement with the measured ones.