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Caption : figure s1. orbital-projected band structures for conduction bands of bulk-phase (a) cdtio3 with in-plane lattice constant of batio3, (b) cubic srtio3 and (c) tetragonal batio3. the red dots are for cd-5s states and the purple dots are for ti-3d states.

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Caption : figure s2. orbital-projected band structures for the o 2p states of the p-type conductivities in (cdtio3)4/(batio3)8 superlattice. the red circles in (a), (b) and (c) are for px, py and pz orbitals respectively.  

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Caption : figure s3. orbital-projected band structures for ti 3d states of (a) (cdtio3)4/(batio3)8 and (b) (srtio3)4/(batio3)8 superlattices.

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Caption : figure s4. the calculated band structures for the (cdtio3)4/(batio3)8 superlattice of (a) a=b=4 å and (b) a=b=3.905å.

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Caption : figure s5. the calculated total density of states (dos) for p+ and p- of the (cdtio3)4/(batio3)8 superlattice.

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Caption : figure s6. the calculated layer-resolved partial dos for the (cdtio3)4/(batio3)8 superlattice along p- direction in the range from -3.0 ev to 3.0 ev on each bao, cdo and tio2 layer. 

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Caption : figure s7. the calculated total density of states (dos) for the supercell model (without vacuum) and thin film model (with vacuum) of the (cdtio3)8/(batio3)6 heterostructure.

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Caption : figure s8. structural distortions in the (cdtio3)n/(batio3)8 heterostructure (n=4 and 6) with the change in the number of cdtio3 layers along c-axis for (a) a-site cation (cd in cdtio3 and ba in batio3) displacements and (b) b-site cation (ti in cdtio3 and batio3) displacements along the c-axis with respect to the oxygen in the plane. the black/red line is the supercell/thin film model without/with vacuum, respectively.