Visualization of Topological Defect in Labyrinth Magnetic Domain by Using Persistent Homology

Abstract

We executed the topological data analysis of labyrinth magnetic domain structure to visualize pinning site during the magnetization reversal process. We utilized persistent homology to extract the topological feature of the magnetic domain structure, and principal component analysis was used to construct the correlation between persistence diagram and magnetic hysteresis loop. As a result, we could automatically visualize the pinning site as topological defect on the original magnetic domain structure.