Analytical solution of spontaneous polarization based on a Landau-Devonshire eight-order potential. (17th February 2020) - Liu, Hongbo
Abstract: The analytical solutions of spontaneous polarization, phase transition temperature T C, and ferroelectric limit temperature T h have been solved based on the Landau-Devonshire eight-order potential. According to the analytical solutions, the eighth-order potential gives a more reasonable and thinner superheating zone ( T h - T C ). The analytical solutions can be applied to deduce other analytical solutions of the functional properties directly, e. g., dielectric susceptibility and pyroelectric coefficient. It can also be used to evaluate different Landau-Devonshire potentials as demonstrated for BaTiO3 .