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The research on topological phenomena in ferroelectric materials hasrevolutionized the way we understand polar order. Intriguing examples are polarskyrmions, vortex/anti-vortex structures and ferroelectric incommensurabilties,which promote emergent physical properties ranging fromelectric-field-controllable chirality to negative capacitance effects. Here, westudy the impact of topologically protected vortices on the domain formation inimproper ferroelectric ErMnO3 polycrystals, demonstrating inverted domainscaling behavior compared to classical ferroelectrics. We observe that as thegrain size increases, smaller domains are formed, which we relate to theinteraction of the topological vortices with local strain fields. The inversionof the domain scaling behavior has far-reaching implications, providingfundamentally new opportunities for topology-based domain engineering and thetuning of the electromechanical and dielectric performance of ferroelectrics ingeneral.

Confinement-driven inverse domain scaling in polycrystalline ErMnO3