High-density inclined polar skyrmions with giant piezoelectricity

Topological polar textures offer a fertile ground for exploring fascinating physical behaviors and novel functionalities in modern electronics. Although many polar topological structures were discovered in the last decade, what new or enhanced properties could they endow remains poorly explored. Here we propose a design framework that integrates crystallographic orientation engineering and anisotropic strain modulation to construct high density inclined polar skyrmions with giant piezoelectricity (> 500 pC/N) in (111)-oriented PbTiO ₃ /SrTiO ₃ superlattices by the phase-field method. Crucially, the inclined skyrmions exhibit intrinsic field-induced strain amplification localized at their core polarization regions, effectively functioning as three-dimensional electromechanically active elements that drive the macroscopic piezoelectric enhancement in the superlattices, yielding nearly a 1000% increase compared to the PbTiO ₃ single-layer film under the same orientation and strain conditions. These findings uncover a topological route to amplified piezoelectric functionality, underscoring the promise of orientation-strain design strategies in reconfigurable ferroics and advanced topotronic platforms.