Figure 3
From: Ferroelectricity driven magnetism at domain walls in LaAlO3/PbTiO3 superlattices
(a) The local displacements between anion and cation ions for m = 1.5, 2.5 and 3.5 SLs with n-n type interfaces. The vertical lines denote the position of interfaces. The HSE result for m = 1.5 (open symbol) is also shown for comparison. Here, the relative displacements of both AO and BO2 layers (in the two ABO3 peroveskites) are shown together to reduce the numbers of curves. (b) The local displacements (between anions and cations) with magnetism and (c) the local magnetic moments of Ti ions for (LAO)3.5/(PTO)6.5 with n-n type interfaces. The vertical olive dash lines and cyan dot lines denote the interfaces and domain walls, respectively. For reference, in (b), the red and blue dot lines denote the Ti-O and Pb-O relative displacements of PTO bulk on LAO substrate, respectively. (d) The total magnetic moment of n-n type SLs in both the PE/FE initial conditions as a function of the periodic thickness.
