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The objective of the present work was to study the behavior of the ferroelectric domain walls in a lead titanate nanosphere under different thermal, electrical and mechanical conditions. For this, the phenomenological theory of Ginzburg-Landau has been used and variational principles were used to obtain the state of equilibrium; the equations that appear in development were solved analytically. The results obtained provide a profile of the polarization within the 180 ° domain walls of the lead titanate nanosphere, as well as the thickness of said wall as a function of temperature and for different conditions of the nanosphere. It is observed that, with the increase in temperature, the polarization profile decreases and the wall thickness increases as it approaches a certain temperature; all of which would allow tuning the ferroelectric transition temperature by controlling the size of the nanostructure, the presence of free charges and the application of mechanical stresses.

Comportamiento de las Paredes de Dominio Ferroeléctricas en una Nanoesfera de Titanato de Plomo