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We investigate the motion of magnetic domain walls driven by magnetic fieldsand current-driven spin-orbit torques in an exchange-biased system withperpendicular magnetization. We consider Cr2O3/Co/Pt trilayers as model system,in which the magnetization of the Co layer can be exchanged-biased out-of-planeor in-plane depending on the field cooling direction. In field-drivenexperiments, the in-plane exchange bias favors the propagation of the domainwalls with internal magnetization parallel to the exchange bias field. Incurrent-driven experiments, the domain walls propagate along the currentdirection, but the domain wall velocity increases and decreases symmetrically(anti-symmetrically) for both current polarities when the exchange bias isparallel (perpendicular) to the current line. At zero external field, theexchange bias modifies the velocity of current-driven domain wall motion by afactor of ten. We also find that the exchange bias remains stable underexternal fields up to 15 kOe and ns-long current pulses with current density upto 3.5x10^12 A/m^2. Our results demonstrate versatile control of the domainwall motion by exchange bias, which is relevant to achieve field-free switchingof the magnetization in perpendicular systems and current-driven manipulationof domain walls velocity in spintronic devices.

Control of field- and current-driven magnetic domain wall motion by exchange-bias in Cr2O3/Co/Pt trilayers