“…[1][2][3][4] The PbTiO 3 perovskite is one of the key ferroelectric materials with a relatively high transition temperature 5-8 T C ¼ : 490 C, and so the properties of PbTiO 3 thin films grown on various substrates with comparable lattice parameters have been largely studied theoretically 9-16 as well as by a range of experimental techniques, such as atomic force and piezoresponse force microscopy (PFM), [17][18][19][20] x-ray diffraction, [21][22][23][24][25][26][27] transmission electron microscopy, 28 or Raman scattering. 27,[29][30][31] It is important to note that the ferroelectricity in PbTiO 3 is accompanied by a sizable spontaneous strain, responsible for the cubic-to-tetragonal lattice distortion of the stress-free bulk (c/a % 1.06 at room temperature).…”