Using first principles calculations, we present a magnetostructural effect in the BiFeO3-BiMnO3 nanocheckerboard that is not found in either bulk parent compound or in BiFeO3-BiMnO3 superlattices. We also demonstrate that the atomic-scale checkerboard has a multiferroic ground state with the desired properties of each constituent material: polar and ferrimagnetic due to BiFeO3 and BiMnO3 respectively. PACS numbers: 75.80.+q,75.75.+a There is currently tremendous interest in finding new multiferroic (ferroelectric and ferromagnetic) materials with large magnetoelectric coupling. Advances in the synthesis of artificially structured materials have stimulated efforts to design new multiferroic heterostructures, with first principles methods being an essential tool for the identification and investigation of promising systems. In this Letter, we report the first-principles identification and characterization of an unusual heterostructure, a multiferroic atomic-scale 2D nanocheckerboard 1,2,3,4 of BiFeO 3 -BiMnO 3 , with properties that critically depend on the geometry and are not present in either bulk or layered structures of the constituent materials. In particular, the 2D checkerboard geometry leads to magnetic frustration and to quasi-degenerate magnetic states that can be tuned by an external perturbation that changes the crystal structure, such as an electric field. This results in a novel magnetostructural effect, adding to previous examples of magnetostructural coupling such as bulk 5 and layered 6 manganites, epitaxial EuT iO 3 7 and EuSe/P bSe 1−x T e x multilayers.
8Our first principles calculations are performed using density functional theory within the local spin-density approximation (LSDA)+U method as implemented in the Vienna Ab-initio Simulation Package VASP-4.6.34 9 . We test the robustness of our results with two different implementations of the rotationally invariant LSDA+U version, the first as introduced by Liechtenstein 10 with U F e = U Mn = 5eV , J F e = J Mn = 1eV , and the second due to Dudarev 11