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We describe a spin logic device with controllable magnetization switching ofperpendicularly magnetized ferromagnet / heavy metal structures on aferroelectric (1-x)[Pb(Mg1/3Nb2/3)O3]-x[PbTiO3] (PMN-PT) substrate usingcurrent-induced spin-orbit torque. The devices were operated without anexternal magnetic field and controlled by voltages as low as 10 V appliedacross the PMN-PT substrate, which is much lower compared to previous reports(500 V). The deterministic switching with smaller voltage was realized from thevirgin state of the PMN-PT. Ferroelectric simulation shows the unsaturatedminor loop exhibits obvious asymmetries in the polarizations. Largerpolarization can be induced from the initial ferroelectric state, while it isdifficult for opposite polarization. The XNOR, AND, NAND and NOT logicfunctions were demonstrated by the deterministic magnetization switching fromthe interaction between the spin-orbit torque and electric field at thePMN-PT/Pt interface. The nonvolatile spin logic scheme in this work is simple,scalable, programmable, which are favorable in the logic-in-memory design withlow energy consumption.

Spin Logic Devices via Electric Field Controlled Magnetization Reversal by Spin-Orbit Torque