Reentrant polar phase induced by the ferroionic coupling in Bi 1−𝑥 Sm 𝑥 FeO 3 nanoparticles
Using the model of four sublattices, the Landau-Ginzburg-Devonshire-Kittel phenomenological approach and the Stephenson-Highland ionic adsorption model for the description of coupled polar and antipolar long-range orders in ferroics, we analytically calculated the phase diagrams and polar properties of Bi 1−𝑥 Sm 𝑥 FeO 3 nanoparticles covered by surface ions with dependence on their size, surface ions density, samarium content 𝑥 , and temperature. The size effects and ferroionic coupling govern the appearance and stability conditions of the long-range ordered ferroelectric, reentrant ferrielectric, and antiferroelectric phases in Bi 1−𝑥 Sm 𝑥 FeO 3 nanoparticles. Calculated phase diagrams are in qualitative agreement with the x-ray diffraction phase analysis, electron paramagnetic resonance, infrared spectroscopy, and electrophysical measurements of Bi 1−𝑥 Sm 𝑥 FeO 3 nanopowders sintered by the solution combustion method. The combined theoretical-experimental approach allows us to explain the influence of the ferroionic coupling and size effects in Bi 1−𝑥 Sm 𝑥 FeO 3 nanoparticles on their polar properties.