Role of Magneto-Crystalline Anisotropies in Complex Rare-Earth Systems

Explore the fascinating world of rare-earth crystals and their complex magnetic properties in this comprehensive lecture. Delve into the role of magneto-crystalline anisotropies in systems with strong spin-orbit coupling, focusing on rare-earth pyrochlores and garnets at low temperatures. Examine the importance of local crystalline symmetries for f-electrons in rare-earth ions, which are the source of rare-earth magnetism. Gain insights into emergent gauge theories, topological phases, magnetoelasticity, multiferroicity, and unconventional ordering in these materials. Understand the theoretical models and experimental challenges involved in studying these complex interactions. Discover how this 'atomistic yet emergent' theoretical framework contributes to advancements in spintronics, particularly in information processing, storage, and energy-conversion prototypes.