Origin of room-temperature multiferroism in hexagonal LuFeO$_3$
ORAL
Abstract
Combined theoretical and experimental studies are carried out, focusing on the exchange interactions and their couplings with the structural instabilities in hexagonal LuFeO$_3$ (hLFO). We apply an extended Kugel-Khomskii model based on maximally localized Wannier functions generated from band structure calculations. The model clearly shows that the single occupied $d_{z^2}$ orbital in hLFO greatly increases the exchange coupling compared to that of hexagonal LuMnO$_3$ in which $d_{z^2}$ is empty. The interlayer exchange interaction is the key to the spin reorientation (SR) and weak ferromagnetic moment observed below 130K. Our calculations show that SR is strongly coupled to the $K_1$ phonon mode and only weakly dependent on $K_3$ and $\Gamma_2^{-}$ phonons. It indicates that the atomic displacements along positive direction of $K_1$ mode is responsible for the spin reorientation. This scenario is confirmed by our X-ray diffraction and X-ray absorption experiments. In the end, we propose that $T_{\rm SR}$ can be adjusted to be room temperature by structural competition between $K_1$ and $\Gamma_2^-$ modes in hLFO or by interface engineering.
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