The key research question in VP1 has been how to achieve new phases of matter with desired magnetic, electronic or topological properties in a predictable manner using chemistry, structure, heterostructuring or strain-control as design parameters. In transition-metal oxides we have solved long-standing problems of how to describe the electronic structure of the correlated systems such as rare earth nickelates and d1 and d2 titanates and vanadates. We have identified an entirely new mechanism for forming polar magnetic spirals in disordered oxide material which has led to the joint theoretical-experimental realization of a room-temperature multiferroic material. And we have created new designer materials with specific model Hamiltonians to study exotic fundamental physical behaviors. The discovery of novel topological materials has been enabled by the development of algorithms and computer codes for identifying topological features in band structure, and notably by the integration of Z2Pack and WANNIER90. New topological electronic phases, namely the type-II Weyl semimetals, triple point and nodal chain metals, have been found. First-principles high-throughput screening of databases of known compounds has revealed a number of new candidate topological materials, some of which have already been realized experimentally.
