(a) Crystal structure of R3 BiFeO3/BiAlO3 (BFO/BAO) superlattice along  direction and (b) the illustration of its magnetic orderings. (c)The corner-sharing double-tetrahedron network in the rhombohedral phase provides a straightforward picture of ferroelectric distortions.
Total density of states of (a) BFO, (b) BAO, and (c) BFO/BAO (only spin-up channel is shown), and the zero is set to the Fermi level.
Optimized structural parameters of ferroelectric phase of rhombohedral BFO and BAO. Experimental values are listed for comparison. The internal structural parameters refer to the Wyckoff positions 2a (x, x, x) for the cations and 6b (x, y, z) for the anions.
Strain dependence of the transition energy between antiferromagnetic and ferromagnetic (ΔE = E FM − E AFM, meV per BFO/BAO formula unit) including hydrostatic pressure and epitaxial strain in BFO/BAO.
Ferroelectric displacement (Δd), Born effective charge (BEC), and ferroelectric polarization (P) of BFO, BAO, and BFO/BAO superlattice. Δd represents the deviation of Fe/Al from the paraelectric structure (Δd = (d 1–d 2)/2, definitions of d 1 and d 2 are shown in Fig. 1(c) ).
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