Deterministic Creation and Manipulation of Isolated Three-fold Polar Vertices

Recently various topological polar structures have been discovered in oxide thin films. Despite the increasing evidence of their switchabiltiy under electrical or mechanical fields, the ability to control an isolated one, which is usually required for applications such as data storage, is still challenging as they strongly interact with their neighbors. Here, we demonstrate deterministic control of nucleation and long-range motion of isolated three-fold vertices by an applied electric field. In PbTiO3 thin film on DyScO3 substrate with SrRuO3 bottom electrode, nano-sized three-fold vertices can be created at heterointerface during the generation of 180{\deg} domain walls. A two-unit-cell thick SrTiO3 layer formed at the interface due to the elemental diffusion between PbTiO3 and SrRuO3, provides critical electrical boundary conditions for stabilization of three-fold vertices. These isolated three-fold vertices could move a long distance along the interface under electric fields in a controllable and reversible manner, accompanied by 180{\deg} domain wall motion. This work provides a simple pathway to fabricate three-fold polar vertices, and the deterministic control of individual ones enables novel ferroelectric devices.