Magnetic-field tuning of domain-wall multiferroicity

N\'eel-type magnetic domain walls locally reduce the symmetry of the crystal and give rise to electric polarization. This type of localized multiferroicity is particularly promising due to the sensibility of the domain wall's internal structure to the magnetic field. In this paper, the magnetic-field-modified electric polarization of the domain wall is considered and compared to the room-temperature giant magnetoelectric effect observed on domain walls in iron garnet films.