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We suggest coherent switching of canted antiferromagnetic (AFM) spins usingspin-orbit torque (SOT) in small magnet. The magnetic system of orthoferritefeatures biaxial easy anisotropy and the Dzyaloshinskii Moriya interaction,which is perpendicular to the easy axes and therefore creates weakmagnetization (m). A damping-like component of the SOT induces N\'eelreorientation along one of the easy axes and then exerts torque on m, leadingto tilting of the N\'eel order l. The torque on the magnetization becomesstronger due to coupling with the induced Oersted field or the field-likecomponent of the SOT, enhancing the tilting of l. Therefore, l is found toexperience deterministic switching after the SOT is turned off. Based upon bothnumerical and analytical analysis of the coherent switching, XOR logic gatesare also found to be implemented in a single magnetic layer. In addition, weinvestigate how magnetic parameters affect the critical reorientation angle andcurrent density in a simple layered structure of platinum and a canted AFM. Ourfindings are expected to provide an alternative spin-switching mechanism forultrafast applications such as spin logic and electronic devices.

Spin orbit torque switching of antiferromagnet through the Neel reorientation in rare-earth ferrite