Microscopic aspects of insulating rare-earth pyrochlore magnets

          @misc{ pirsa_PIRSA:17060031,
            doi = {10.48660/17060031},
            url = {https://pirsa.org/17060031},
            author = {Rau, Jeffrey},
            keywords = {Condensed Matter},
            language = {en},
            title = {Microscopic aspects of insulating rare-earth pyrochlore magnets},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {jun},
            note = {PIRSA:17060031 see, \url{https://pirsa.org}}
          }
          

Abstract

In this tutorial, we will review the microscopic aspects of rare-earth magnets relevant for quantum spin ice. We first discuss the single-ion properties of the variety of rare-earth atoms that appear in quantum spin ice candidate materials. Second, we consider the origin of the two-ion exchange interactions, including electric and magnetic multipolar interactions, super-exchange and virtual crystal field mediated interactions. We provide a detailed microscopic basis for the super-exchange interaction and discuss the implications of its multipolar structure for models of rare-earth materials. Finally, we introduce the generic symmetry allowed anisotropic exchange model for rare-earth pyrochlore magnets.