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The behavior of Magnetic nanostructures has long been of interest to the field of condensed matter physics. A fundamental element to understanding and controlling this behavior is the understanding and control of the underlying energy landscapes. This work has focused on the study of the energy landscape in three different systems: quasicrystal artificial spin ices (QC-ASIs), nanoscale ferromagnetic Archimedean spirals, and nanoscale ferromagnetic sinusoids. QC-ASIs show promise for the application to memristive devices, but in order to do so, it is necessary to understand the formation of magnetic defects, such as magnetic vortices, that form within the magnetic bars that make up the QC-ASI. These defects affect many of the properties, such as the magnetoresistance, that are crucial to the incorporation of QC-ASIs into memristive technologies such as neuromorphic computing. Nanoscale ferromagnetic Archimedean spirals and nanoscale ferromagnetic sinusoids, on the other hand, show the potential for demonstrating curvature induced magnetic phenomena such as the curvature induced exchange driven Dzyaloshinskii-Morya Interaction (DMI) and curvature induced magnetic anisotropy. However, to date experimental observation of these curvature induced phenomena has been limited. This work has used the MuMax micromagnetic modeling software to show that nanoscale ferromagnetic spirals and nanoscale ferromagnetic sinusoids are promising candidates for the observation of curvature induced exchange driven DMI and curvature induced anisotropy.

This work was supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, Materials Sciences and Engineering Division. This work was performed, in part, at the Center for Nanoscale Materials, a U.S. Department of Energy Office of Science User Facility, and supported by the U.S. Department of Energy, Office of Science, under Contract No. DEAC02-06CH11357