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Clocked Domain Wall Logic Using Magnetoelectric Effects

A new digital device scheme based on the magnetoelectric coupling and automotion of the magnetic domain wall is proposed. A single device is composed of a ferromagnetic wire and two ferroelectric capacitors served as the input and the output. It is shown that with the initialization in the magnetic states, a single device and the corresponding majority gate can realize the NOT, NAND, and NOR functions. Furthermore, the device has the cascadability, input-output isolation, gain, and nonreciprocity. The device concepts are justified by the numerical calculation, including the Landau-Lifshitz-Gilbert equation for the magnetization dynamics, the Landau-Khalatnikov equation for the electric polarization dynamics, and the electrostatic equations for the open-circuit output voltage and the charge sharing process between devices. The energy dissipation is also quantified and shown to be two to three orders of magnitude less than that in spin-torque-driven devices.