“…The observed fluctuation in the DW profile could be due to weak pinning by inherent defects (e.g., oxygen vacancies and cation interstitials), interfacial defect states, or strain‐induced defects propagating from the substrate and bottom electrode. [
35,36,49 ] To analyze the roughening of these DWs at a given length scale L , we employed the real space displacement autocorrelation function or roughness function B ( L )
where Δ u ( L ) = u ( y + L ) − u ( y ) is the relative displacement for an elastically optimal configuration with respect to the flat configuration and u ( y ) is the transversal displacement at the longitudinal coordinate y along the wall (Figure 3c). [
26 ] In Equation (), 〈⋅⋅⋅〉 L corresponds to an average over longitudinal coordinate y at fixed L , whereas
stands for an average over different disorder realizations.…”