FIG. 6: Calculated densities of states of super-lattices A (left) and B (right) in Fig. 3. with no oxygen atoms in the Ti side of the interface, using the LSDA (top) and LSDA+U (bottom) approximations (U = 5 eV). Case A is not magnetic, so that the contributions of both spin types have been added. In case B we show spin up and spin down contributions separately, the magnetic moment of the unit cell is 2.7 B and inside the muffin tin of each inter-facial Ti it is 0.65 $_{B}$. 14 -4 -2 0 2 4 0 20 40 60 DOS -4 -2 0 2 4 E -E$_{F }$ (eV) 0 20 40 60 DOS LSDA LSDA + U La La Ti Ti -4 -2 0 2 4 -20 0 20 DOS -4 -2 0 2 4 E - E$_{F }$(eV) -20 0 20 DOS LSDA LSDA + U La La Ti Ti