Geometry-driven electric field gradients in finite mesoscopic systems induce antisymmetric linear transverse magnetization forbidden by Onsager reciprocity without the gradient, plus ferroaxial moments, with linear electric-field scaling for the transverse component.
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Antiferroically ordered electric toroidal dipole moments act as the order parameter for antiferroaxial rotations that produce chirality in BaTiOCu4(PO4)4, with overall chirality given by the composite of antipolar electric dipoles and toroidal dipoles.
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Antisymmetric linear transverse magnetization and ferroaxial moments induced by geometry-driven electric field gradients
Geometry-driven electric field gradients in finite mesoscopic systems induce antisymmetric linear transverse magnetization forbidden by Onsager reciprocity without the gradient, plus ferroaxial moments, with linear electric-field scaling for the transverse component.
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Chirality in BaTiOCu$_4$(PO$_4$)$_4$
Antiferroically ordered electric toroidal dipole moments act as the order parameter for antiferroaxial rotations that produce chirality in BaTiOCu4(PO4)4, with overall chirality given by the composite of antipolar electric dipoles and toroidal dipoles.