Physically-inspired computational tools for sharp detection of material inhomogeneities in magnetic imaging

Abstract

Detection of material inhomogeneities is an important task in magnetic imaging and plays a significant role in understanding physical processes. For example, in spintronics, the sample heterogeneity determines the onset of current-driven magnetization motion. While often a significant effort is made in enhancing the resolution of an experimental technique to obtain a deeper insight into the physical properties, here we want to emphasize that an advantageous data analysis has the potential to provide a lot more insight into given data set, in particular when being close to the resolution limit where the noise becomes at least of the same order as the signal. In this work, we introduce two tools - the average latent dimension and average latent entropy - which allow for the detection of very subtle material inhomogeneity patterns in the data. For example, for the Ising model, we show that these tools are able to resolve exchange differences down to $1\%$. For a micromagnetic model, we demonstrate that the latent entropy can be used to detect changes in the easy axis anisotropy from magnetization data. We show that the latent entropy remains robust when imposing noise on the data, changing less than $0.3\%$ after adding Gaussian noise of the same amplitude as the signal. Furthermore, we demonstrate that these data-driven tools can be used to visualize inhomogeneities based on MOKE data of magnetic whirls and thereby can help to explicitly resolve impurities and pinning centers. To evaluate the performance of the average latent dimension and entropy, we show that they outperform common instruments ranging from standard statistics measures to state-of-the-art data analysis techniques such as Gaussian mixture models not only in recognition quality but also in the required computational cost.

16 pages, 6 figures

References in corpus (9)

• Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• Magnetic Control of Valley Pseudospin in Monolayer WSe2
• Creep and flow regimes of magnetic domain wall motion in ultrathin Pt/Co/Pt films with perpendicular anisotropy
• Thermal skyrmion diffusion applied in probabilistic computing
• Inertia, diffusion and dynamics of a driven skyrmion
• Adaptively time stepping the stochastic Landau-Lifshitz-Gilbert equation at nonzero temperature: implementation and validation in MuMax3
• Social applications of two-dimensional Ising models
• Current-driven periodic domain wall creation in ferromagnetic nano-wires

Cited by in corpus (1)

• Skyrmion pinning energetics in thin film systems