Unusual vortex structure in ultrathin Pb(Zr${}_{0.5}$Ti${}_{0.5}$)O${}_3$ films

Abstract

Using a first-principles-based approach, we determine the ferroelectric pattern in PbZr${}_{0.5}$Ti${}_{0.5}$O${}_3$ ultrathin film. It is found that vortex stripes are formed in the system and they are responsible for the 180${}^{\circ }$ domains observed. When a local external field is exerted, the vortex stripe transforms into the vortex loop structure, which leads to the formation of a smaller domain with the polarization antiparallel to the field in the center of the field region. This may provide a convenient way to manipulate nanodomains in thin films.

5 pages, 3 figures