<i>Quantification of mixed Bloch/Néel character in a Co/Pd DMI multilayer thin film with Lorentz transmission electron microscopy.</i>

Chiral magnetic order stabilized by the Dzyaloshinskii-Moriya interaction holds promise for a range of spintronic device applications such as for magnetic-based memory and logic. Yet, direct methods for the quantification of their exact structure remains a challenge and is crucial towards understanding the fundamental physics associated with their ordering and manipulation. Here, we present an approach to quantify the mixed Bloch-Néel character of domain walls stabilized by the Dzyaloshinskii-Moriya interaction in Co/Pd multilayers. Analysis of the observed intensities under varied imaging conditions yield vital parameters that dictate their stability and properties, namely, the degree of mixed Bloch-Néel character (η = 56° ± 5°), the domain wall width (w = 10 ± 2 nm), the strength of the Dzyaloshinskii-Moriya interaction (D = 1.0 – 1.1 mJ/m²), and the exchange stiffness (A = 23 – 30 pJ/m). This approach provides the necessary framework to quantify the magnetic structure for a broad array of topological spin systems using Lorentz phase microscopy.