order parameters would lead to switching of the electrical polarization ( P ) by the magnetic fi eld H , or the magnetization ( M ) by the electric fi eld E , which has been proposed as a possible candidate to replace the presently used volatile random access memories (RAM). [ 3,4 ] A magnetoelectric multiferroic memory would benefi t from nonvolatility and nondestructive reading of magnetic RAM and the lowpower, high-speed features of ferroelectric RAM. [ 3,4 ] Bulk BiFeO 3 exhibits both ferroelectric and long-range magnetic order at room temperature, however it is a pure antiferromagnet because the cycloidal magnetic ordering leads to cancellation of the Dzyaloshinsky-Moriya interactionmediated canted moments, and also prevents any linear magnetoelectric effect. [5][6][7][8] The cycloidal ordering can be destabilized in strained and nanostructured fi lms of BiFeO 3 leading to fi nite magnetization. [ 9,10 ] Electric fi eld-induced switching of the magnetization of a ferromagnetic layer coupled to BiFeO 3 has been demonstrated in thin fi lm devices. [ 10,11 ] Powder neutron diffraction (PND) and Möss-bauer studies show that PbFe 0.5 Ta 0.5 O 3 , PbFe 0 .5 Ta 0.5 O 3 -PbTiO 3 solid solution, and the Aurivillius phases Bi n +1 Fe n −3 Ti 3 O 3 n +3 (3.5 ≤ n ≤ 7) are not long-range magnetically ordered at room temperature: [12][13][14][15] ( n = 5) at room temperature. [ 16,17 ] Recently, we have reported a generic design route for room temperature multiferroic materials that integrates a percolating network of magnetic ions to produce long-range magnetic order with enhanced ferroelectric switching properties at the morphotropic phase boundary (MPB) between two polar phases with different polarization directions. This was exemplifi ed in the perovskite oxide (1− x )BiTi (1− y )/2 Fe y Mg (1− y )/2 O 3 -x CaTiO 3 (BTFM-CTO) system, using techniques that defi nitively proved the coexistence and switchability of both orders within the perovskite structure. [ 18 ] The order parameters are not only switchable at room temperature but are also coupled as demonstrated by the linear magnetoelectric effect. [ 18 ] The structure of the perovskite at the MPB is complex and has been the subject of detailed studies over
Controlling Phase Assemblage in a Complex