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Using magnetic force microscopy and micromagnetic simulations, we studied theeffect of Oersted magnetic fields on the chirality of transverse magneticdomain walls in Fe$_{20}$Ni$_{80}$/Ir bilayer nanostrips. Applying nanosecondcurrent pulses with a current density of around $2\times10^{12}$ A/m$^2$, thechirality of a transverse domain wall could be switched reversibly andreproducibly. These current densities are similar to the ones used forcurrent-induced domain wall motion, indicating that the Oersted field maystabilize the transverse wall chirality during current pulses and preventdomain wall transformations.

Manipulating domain wall chirality by current pulses in Permalloy/Ir nanostrips