Bulk magnetoelectricity in the hexagonal manganites and ferrites

Abstract

Improper ferroelectricity (trimerization) in the hexagonal manganites RMnO${}_3$ leads to a network of coupled structural and magnetic vortices that induce domain wall magnetoelectricity and magnetization neither of which, however, occurs in the bulk. Here we combined first-principles calculations, group-theoretic techniques, and microscopic spin models to show how the trimerization not only induces a polarization but also a bulk magnetization and bulk magnetoelectric (ME) effect. This results in the existence of a bulk linear ME vortex structure or a bulk ME coupling such that if direction of polarization reverses so does magnetization. To measure the predicted ME vortex, we suggest RMnO${}_3$ under large magnetic field. We suggest a family of materials, the hexagonal RFeO${}_3$ ferrites, also display the predicted phenomena in their ground state.

19 pages, 11 figures, 5 tables

References in corpus (4)

• Room-temperature multiferroic hexagonal LuFeO${}_3$ films
• Structural Domain Walls in Polar Hexagonal Manganites
• Non collinear magnetism and single ion anisotropy in multiferroic perovskites
• Magnetic structure of hexagonal YMnO3 and LuMnO3 from a microscopic point of view

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