“…Additionally, since the strain largely vanishes after removal of the external electric field, the magnetic changes are generally volatile (i.e., not permanent) when the applied electric field is removed [15,30,31,34]. Furthermore, the magnetostrictive coupling is a function of the square of magnetization (M ) and electric polarization (P) and, therefore, in principle, the sign of M cannot be switched with P. However, strong asymmetries with voltage have been observed in the magnetic properties of FM-PMN-PT heterostructures, eventually resulting in a "looplike"-controlled magnetization, and therefore, in permanent changes (i.e., nonvolatile) [23][24][25][26][27]. Thus, if the magnitude of P at + V applied is different from that at − V applied , the magnitude of M can be changed with voltage polarity.…”