Supplementary Online Material

See the supplementary material for more details on identification of interfacial DMI and Néel-type DW from the asymmetric domain expansion, electric-current-driven domain evolution and the corresponding deflection angle control via in-plane magnetic field, micromagnetic simulations to confirm the effects of the in-plane field on deflection angle during the electric current driving process, remanent states after demagnetization from different out-of-plane magnetic fields, the half-skyrmion-based programmable logic gate by controlling half-skyrmions movement, and measurement of anomalous Hall effects under the out-of-plane and in-plane fields.