“…On one hand, the dynamical shrinkage/expansion of the vortex texture can be manipulated by perpendicular a. c. Magnetic field [15,16], a. c. Current [17], or spin-orbital torques [17,18]. On the other hand, since the inherent dynamics of magnetic vortex is gyrotropic, self-sustained magnetic oscillation can be obtained via spin transfer torques that compensate the intrinsic magnetic damping, which suggests great potential for applications in spin-torque nano-oscillators [13,14,19,20]. The radio-frequency oscillation gives an electric power output in the pico-watt to nano-watt range [21,22], which can be further enhanced by placing the nano-oscillators in arrays or networks.…”