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The oxide heterostructure [(YFeO$_3$)$_5$(LaFeO$_3$)$_5$]$_{40}$, which ismagnetically ordered and piezoelectric at room temperature, has beenconstructed from two weak ferromagnetic AFeO$_3$ perovskites with different Acations using RHEED-monitored pulsed laser deposition. The polarisation arisesthrough the removal of inversion centres present within the individual AFeO$_3$components. This symmetry reduction is a result of combining ordering on the Asite, imposed by the periodicity of the grown structure, with appropriateorientations of the octahedral tilting characteristic of the perovskite unitsthemselves, according to simple symmetry-controlled rules. The polarisation isrobust against A site interdiffusion between the two layers which produces asinusoidally modulated occupancy that retains the coupling of translational andpoint symmetries required to produce a polar structure. Magnetization andmagneto-optical Kerr rotation measurements show that the heterostructure'smagnetic structure is similar to that of the individual components. Evidence ofthe polarity was obtained from second harmonic generation and piezoelectricforce microscopy measurements. Modeling of the piezoresponse allows extractionof $d_{33}$ (approximately 10 pC/N) of the heterostructure, which is inagreement with DFT calculations.

Engineered spatial inversion symmetry breaking in an oxide heterostructure built from isosymmetric room-temperature magnetically ordered components