The interactions between local moments and itinerant electrons gives rise to a rich array of ``Kondo'' physics, from heavy Fermi liquids to unconventional superconductivity and quantum criticality. Here, I'll introduce the even richer two-channel Kondo physics, where two symmetry-related channels of itinerant electrons compete to screen the same local moments. This physics leads to intrinsic quantum criticality with local Majorana fermions in the impurity, and unusual spinorial orders in the lattice. I will discuss our recent insights into these unconventional orders, including the prevalence in one dimension; the experimentally and numerically detectable consequences of the spinorial order; how it can be realized in intermetallic materials based on non-Kramers ions like Pr, U and Tm; and how topological defects can be engineered to host mobile Majorana zero modes.
Bio: I am a theoretical condensed matter physicist studying correlated electronic materials, with a particular interest in realizing exotic emergent phenomena in real materials. I earned my PhD from Rutgers University, was a Simons Postdoctoral Fellow at MIT, and am currently an associate professor at Iowa State University. I was awarded a NSF CAREER grant to study exotic magnetic materials, and a DOE Early Career award to study praseodymium-based heavy fermion materials, and am currently leading a group exploring the interplay between magnetic anisotropy and mixed valence.