Phenomenological theory of 1-3 type multiferroic composite thin film: thickness effect

The effect of thickness on the para-ferro-phase transition temperatures, the spontaneous polarization and magnetization and hysteresis loops of 1-3 type multiferroic composite thin films was studied in the framework of Landau phenomenological theory. We took into account the electrostrictive and magnetostrictive effects, misfit strains induced from the interfaces of ferroelectric/ferromagnetic portions and film/substrate. Butterfly loops under external fields were also simulated.