The mechanism of rapid and selective heating of magnetic metal oxides under the magnetic field of microwaves which continues beyond the Curie temperature Tc is identified by using the Heisenberg model. Monte Carlo calculations based on the energy principle show that such heating is caused by nonresonant response of electron spins in the unfilled $3d$ shell to the wave magnetic field. Small spin reorientation thus generated leads to a large internal energy change through the exchange interactions between spins, which becomes maximal around Tc for magnetite Fe₃O₄. The dissipative spin dynamics simulation yields the imaginary part of the magnetic susceptibility, which becomes largest around Tc and for the microwave frequency around 2 GHz. Hematite Fe₂O₃ with weak spontaneous magnetization responds much less to microwaves as observed in experiments. The heating of titanium oxide by microwave magnetic field only when oxygen defects are present is also explained by our theory in terms of the appearance of spontaneous magnetization.
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Tanaka et al. (2009) studied this question.
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