2-D Magnetic Domain Patterns on Thin Films With Perpendicular Magnetic Anisotropy

We theoretically argue on the connectivity of mazes that are expected to appear in magnetic thin films with magnetic perpendicular anisotropy. Following the finding of persistent magnetic structures and their direct relationship with the connectivity of the mazes existing as demagnetized states in our previous study (Iwano et al., J. Appl. Phys. vol. 117, 17A704, 2015), we extend our analyses based on the framework of a 2-D Ginzburg-Landau simulation augmented by the dipole-dipole interaction, to generate as many as 100 mazes under zero magnetic field. Next, we elevate the field and coarse-grain the structure while maintaining its fundamental topology. We judge the nature of the obtained persistent structures from averaged magnetization and finally find that more than 70% of mazes are connected for the present system size. This result suggests that these mazes exceed the so-called percolation threshold, namely, that all the mazes are connected in the limit of an infinite system.