Abstract
The mechanism for the ferromagnetic order in oxygen-deficient europium monoxide EuO${}_{1\ensuremath{-}\mathrm{x}}$ at temperatures higher than 69 K (the Curie temperature ${T}_{\mathrm{c}}$ of stoichiometric EuO) remains controversial. We have investigated the magnetization of EuO${}_{1\ensuremath{-}\mathrm{x}}$ thin films prepared via pulsed laser deposition as a function of temperature and applied field. The ferromagnetic ordering above 69 K originates from the exchange coupling between the doped electrons and Eu 4$f$ moments and is described using a magnetic polaron model. Our data show that the magnetic polarons are coupled antiferromagnetically to the Eu 4$f$ local moments that dominate the magnetization below 69 K. The magnetic polaron state is stable below 69 K and seems to persist down to a relatively low temperature. An explanation is given to account for the antiferromagnetic coupling. We also describe the evolution of the phases of the magnetic orders as the temperature is varied in EuO${}_{1\ensuremath{-}\mathrm{x}}$.
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