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In fact, we find that perpendicular polarization is favored over in-plane polarization for PbTi O3 in-plane lattice constants from 2.5% less than the equilibrium value up to 0.5% above the equilibrium lattice constant, at which point the in-plane polarization becomes more favorable. Since the Pt(100) lattice constant is only 0.38% larger than that of SrTi O3, we predict perpendicular polarization for PbTi O3 grown on Pt(100). The in-plane polarization has been studied by PRLTAO 0031-9007 10.1103/PhysRevLett.93.196104
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In fact, we find that perpendicular polarization is favored over in-plane polarization for PbTi O3 in-plane lattice constants from 2.5% less than the equilibrium value up to 0.5% above the equilibrium lattice constant, at which point the in-plane polarization becomes more favorable. Since the Pt(100) lattice constant is only 0.38% larger than that of SrTi O3, we predict perpendicular polarization for PbTi O3 grown on Pt(100). The in-plane polarization has been studied by I. Kornev [Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.196104 93, 196104 (2004)] and by
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