Effects of in-plane magnetic fields and energy analysis during the control of antiskyrmion formation

In this study, we perform micromagnetic simulations to investigate phase transitions in antiskyrmion-hosting systems under the application of combined out-of-plane and in-plane magnetic fields via controlled sample tilting. It is confirmed that the initial tilt angle, θ0, governs the critical transition points, lattice ordering, and the maximum number of antiskyrmions formed. The transition from nontopological (NT) bubble states to antiskyrmion states reproducibly appears within a narrow range of negative tilts (θ=−16° to −17°) and is largely independent of the initial tilt angle θ0 when the tilt angle θ is swept from θ0 under a constant magnetic field. Furthermore, the maximum antiskyrmion shows a dependence on θ0, with an extremum, associated with the global configurational ordering of NT bubble states. We perform energy analysis at each field step to clarify the underlying mechanisms: demagnetizing and uniaxial anisotropy changes dominate the collective stripe collapse (from helical states to NT states), while exchange and anisotropy energies drive the localized spin flips required for the transition from NT bubble states to antiskyrmion states. These findings provide quantitative guidelines (incorporating initial tilt angle, field protocols, and material properties) for the controlled formation and for guiding experimental investigations of antiskyrmion ensembles.