Figure 3

(a) M–H loops of an Au(100 nm)/Ti(10 nm)/(011)-cut PMN-PT(300 µm)/CoFeB(40 nm)/Ta(5 nm) heterostructure measured along the [01-1] direction under different voltages. (b) The corresponding pseudo-magnetization calculated from the data in (a) using µ ≡ mx2 − my2. (c) SPICE simulation results on the average in-plane hard axis magnetization my as a function of DC magnetic field in the y-direction at different DC voltages (VDC). (d) The corresponding pseudo-magnetization calculated from µ ≡ mx2 − my2. Without loss of generality, the following parameters are used in the numerical circuit: HK = 25 Oe, Ms = 300 emu/cc, Vol. = 5e−13 cm3, damping coefficient α = 0.1, demagnetization field HD is assumed to be 100 HK. The piezoelectric capacitance CPE is chosen to be 7.5 pF, and the load resistance is 0.1 Ω.