Dynamically resolved evolution and quantitative mapping of conformal skyrmion lattice

Conformal lattices, characterized by spatially varying yet locally ordered structures, have been studied in colloidal and superconducting systems. However, their quantitative validation and underlying formation mechanisms in magnetic skyrmion systems remain largely unexplored. In this work, we dynamically resolve the formation of conformal skyrmion lattices induced by lateral compression driven by the skyrmion Hall effect. Combining micromagnetic simulations with machine-vision trajectory tracking, we reveal the evolution of lattice curvature, layer-dependent skyrmion Hall-angle redistribution, and defect generation. The conformality of the emergent lattice is rigorously verified through inverse conformal mapping, quantitatively confirming local angular preservation, while force analysis reveals an exponentially decaying repulsive interaction that underpins lattice formation. We further show that conformal skyrmion lattices can be experimentally realized and reversibly controlled in Co 9 Zn 9 Mn 2 using nanosecond current pulses, in agreement with our simulations. These results provide a quantitative approach to understanding conformal skyrmion geometries and suggest their potential for stochastic bit generation.