Frustrated Dipole Order Induces Noncollinear Proper Ferrielectricity in Two Dimensions
Within Landau theory, magnetism and polarity are homotopic, displaying a one-to-one correspondence between most physical characteristics. Yet, despite widely reported noncollinear magnetism, spontaneous noncollinear electric dipole order as a ground state is rare. In this work, a dioxydihalides family is suggested to display noncollinear ferrielectricity, induced by competing ferroelectric and antiferroelectric soft modes. This intrinsic of dipoles generates unique physical properties, such as $\mathbb{Z_{2}×Z_{2}}$ topological domains, atomic-scale dipole vortices, and negative piezoelectricity.