In my materials i have got very low value of polarization in the range of
Ps = 0.3-1.0 uC/cm2 and saturation magnetization Ms = 0.5 to 1.3 emu/gm. I here attach the PE loop and BH loops. In which applications these materials can be used.
Typically when thinking in terms of multiferroics, you want the opposite, high polarization and high magnetization and coupling. Whether your samples can be useful depends to a large extent on the question at which temperatures your ferroic orders set in. If those temperatures are high, meaning near or above room temperature, there can be still some use for it, if you have cross-coupling. Having a brief look at your loops I strongly suggest you measure the P-E loops again. They are not anywhere near saturation, but an example for what the literature calls "banana loops". You have to see saturation. This can't be published. Also, who knows, perhaps your polarization is actually much larger in case you saturate.
The Ferroelectric hysteresis at low voltage shows a bit of ferroelectricity. But, all others simply shows an RC network response. This means that you have a fully depleted sample that is leaking through the resistor as a space-charge-limited current. So, to look for Ferroelectricity, put a Triangular Wave (Voltage) in which at zero bias you can get the quasi-static dielectric constant ant at the coercivities you will get a "Bump". This will confirm the ferroelectric behavior. The absolute value of that response is the large signal switching CV plot, which should be similar to the derivative of the Hysteresis, if the hysteresis is purely due to polarization and not electronic current - as I think is the case here. Now, in the ferromagnetic hysteresis, the amount of anisotropy is very small, so the coercivity is low. But, it does show saturation of what would be a paramagnetic material ( contrary to ferroelectricity, ferromagnetism actually needs defects to show anisotropy and hysteresis). The low values of coercivity and subsequent polarization and magnetization show a very questionable material for good use. So, you need to work in improving this and then think in terms of a sensor on a MOSFET gate to detect magnetic and electric fields. But, Since such devices need high enough coercivity * say 50 KV/cm - you have a problem.
1. Because the magnetic side of a Multiferroic still has to show, as any magnetic material, a separation of population of spin ebeing the electrup and spin down. In magnetic materials when the anisotropic is low, the coercive magnetic fields are zero. Sometimes, raising the temperature helps,but, in the case of an oxide that is Multiferroic, charge polarization and spin polarization are coupled in such a way that the spin separation and the internal electric field set up by saturation of the charge polarization influence each other, and if the the electric polarization is under saturated or screened by space charges on the surface, this coupling is low and the spin is intone rant and not separated. That is, the material will look more paramagnetic if the charge polarization does not set up an internal field strong enough to induce spin anisotropic. I am not sure if this has been understood in the literature, the potential set up by the electric dipoles and the J coupling as in the t-J model as in the Hubbard Hamiltonian, show phenomenological lay how the electric potential energy and the J are connected. If I remember correctly , the r