Abstract

The pronounced anisotropy of the magnetization caused by theHo3+ ions in the ferrimagnetic holmium iron garnet has been investigated basedon quantum theory. The strong anisotropy of the magnetization of theHo3+ ions originates mainly from the effect of the crystal field upon theHo3+ ions and theanisotropic Ho3+–Fe3+ superexchange interaction. Following the expression of theYb3+–Fe3+ exchange interaction used by Alben, the anisotropy of theHo3+–Fe3+ exchange interaction is defined by three principal values of the exchange tensorG. Becausethe six Ho3+ sublattices are magnetically non-equivalent, we calculate the magnetic quantities of theHo3+ at the six sublattices and compare the average value of the so-obtained six quantitieswith the measured values. The calculated results are in good agreement withexperiments. An interpretation on the anisotropy of the magnetic properties of HoIG isgiven.

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