Prediction of new low-energy phases of BiFeO$_3$ with large unit cell and complex tilts beyond Glazer notation

Abstract

Bismuth ferrite is one of the most widely studied multiferroic materials because of its large ferroelectric polarisation coexisting with magnetic order at room temperature. Using density functional theory (DFT), we identify several previously unknown polar and non-polar structures within the low-energy phase space of perovskite-structure bismuth ferrite, BiFeO$_3$. Of particular interest is a series of non-centrosymmetric structures with polarisation along one lattice vector, combined with anti-polar distortions, reminiscent of ferroelectric domains, along a perpendicular direction. We discuss possible routes to stabilising the new phases using biaxial heteroepitaxial strain or interfacial electrostatic control in heterostructures.