Topological Materials with Complex Long-Range Order

Abstract

The overarching vision of this proposal is to understand exotic metallic behavior in frustrated quantum magnets. This problem is at the core of understanding a number of mysteries in the study of itinerant magnetism, and of high temperature superconductivity. The central challenge is that magnetic order is generally understood by localized magnetic moments. In these systems the mobile electrons form an ordered magnetic state, sometime breaking sharp symmetry, sometimes forming incommensurate order, and other times forming a spin liquid. The present research focuses on finding complex magnets that are in close proximity to a sea of metallic, itinerant electrons.