Self-consistent solutions of the Curie temperature in ferromagnetic/ferroelectric hybrid double quantum wells

The ferromagnetic transition temperature as a function of the electric field for a ferromagnetic/ferroelectric hybrid double quantum well (HDQW) system is investigated by using a self-consistent method. These results are also compared with those obtained from the flat-band model. The self-consistent solution shows that, the change in Curie temperature for the dipole right and the dipole left occurs near Fg=17 and 10 meV/nm, respectively. This effect is caused by asymmetry of electrostatic potential due to screening charges. On the other hand, the results of the flat-band model shows that the change in Curie temperature occurs at lower bias voltage than that of the self-consistent model. In the case of the flat-band model, the ratio of ferromagnetic transition temperatures Tc/Tco has a constant value and is independent of Fd. On the other hand, Tc/Tco of the self-consistent calculation shows a significant dependence on the Fd value.