Jian Liu1
University of Tennessee1
The complex interplay between the quantum degrees of freedom in oxides is known to cause intriguing emergent states. While the underlying physics is usually captured by model Hamiltonian, most of the known models, such as the Hubbard Hamiltonian, are difficult to resolve theoretical. This challenge calls for toy-model-based design and synthesis of novel structures for complex oxide materials synthesis. In this talk, I will discuss our recent work on experimental realization of artificial iridate superlattices that simulate the correlation-topology interplay with engineered complex hopping. While the electronic correlation stabilizes an antiferromagnetic Mott insulating ground state, their intermediate coupling strength allows significant longitudinal spin fluctuations, which allow the SU(2) symmetry-preserving and breaking components of the complex hopping to manifest as anomalous magnetoresistance and anomalous Hall effect, respectively. The latter also leads to an exceptionally large Ising anisotropy which is captured as a giant magnon gap and is an imprint of electronic topology. I will also discuss another example in pyrochlore heterostructures which simulate the spin-ice fluctuation-mediated charge transport.