The magnetic orders induced ferroelectricity
Abstract
We studied the ferroelectricity of magnetic oxides in which its emergence coincides with the onset of a second incommensurate magnetic order. We solved for the wave function of eg electrons in the presence of magnetic orders. The coupling between the magnetic and electric orders is provided by the spin-orbit interaction. It was found that the net electric dipole moment of the system came from the bond between the transition metal and oxygen atoms. The anisotropy of d-orbitals also played an important role. Finally, the form of the coupling leads us to the conclusion that it is an improper ferroelectricity.
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