The promise of a strong magnetoelectric (ME) coupling in a multiferroic (MF)
material is not only of fundamental interest, but also forms the basis of next
generation memory devices where the direction of magnetization can be reversed
by an external electric field. Using group-theory led first-principles
calculations, we determine the ME properties of a relatively understudied
family of layered oxides with the general formula A4B3O9. We show how
the tetrahedral rotations in these oxides can lead to a variety of hitherto
unknown structural phases with different symmetries. In particular, a polar
phase in the Cmc21 space group has been identified where a weak
ferromagnetic mode arises spontaneously via a canting of the
antiferromagnetically ordered B-site spins. In this polar phase, the polar
mode couples to the magnetic modes through a rare Γ-point ME-MF coupling
scheme such that the net magnetization can be directly reversed by an electric
field switching of the polar mode. Moreover, in agreement with previous
experimental observations, we predict room-temperature magnetism in
A4B3O9 layered oxides which is supported by our calculations of the
magnetic exchange interaction parameters, further indicating the potential of
these compounds in practical technological applications