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Ferroelectric charged domain walls are promising elements of future nanoelectronic devices because their bound charges can modulate electrostatic potential and carrier transport. In-line electron holography provides a low-dose and noninvasive approach for visualizing such charge-related electrostatic fields through phase retrieval. In-line holography is distinguished by its flexible exposure conditions, robust phase reconstruction and wide-field potential-mapping capability among charge characterization approaches. However, the direct observation of charged domain walls remains a major challenge using weak-phase imaging methods, because the phase shift is not only determined by electrostatic fields but can also be influenced by finite field-of-view effects, boundary effects, and nonlinear diffraction contrast. Here, based on in-line electron holography, we address these limitations to map charge distributions at domain walls in epitaxial PbTiO 3 thin films. To reduce phase contributions unrelated to the intrinsic bound charges, we establish a strategy that integrates Fourier boundary padding, objective-aperture-based reciprocal-space selection and off-zone-axis incidence to minimize interference from diffraction effects. This strategy reduces non-charge-related phase shifts from nonlinear diffraction while retaining the bound-charge-induced electrostatic phase signal. The approach enables direct determination of the charge distribution of 90° domain walls in PbTiO 3 , which can be corroborated by polar map. This work provides a reliable and generalizable approach for observing local charge distributions in oxide thin films and interfaces, and may further enable the capability of observing the dynamics behavior of domain walls.
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Yu et al. (2026) studied this question.
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