“…[28][29][30][31][32][33][34][35][36][37][38] In amorphous thin lms, the structural disorder induces a reduction and a broad distribution of the mean force constants, leading to a signicant enhancement of the number of lowenergy states. [39][40][41] Fundamentally, the origin of the high-k property is directly related to the vibrational spectrum of a solid, since the static dielectric constant is a sum of the electronic and lattice contributions. While the former equals to the square of the refractive index and thus is intrinsically limited to low values, the high-k values originate from the lattice component, which is inversely proportional to the square of the frequency of transverse optical phonons.…”