Анотація:
We consider the polar properties of the ferroelectric nanotubes within the
framework of Landau-Ginzburg-Devonshire phenomenology. The approximate
analytical expression for the paraelectric-ferroelectric transition temperature dependence
on the radii of nanotube, polarization gradient, extrapolation length, elastic stresses and
strains arising from surface tension and thermal expansion mismatch, and electrostriction
coefficient was derived. We calculated effective local piezoresponse of the ferroelectric
nanotube within decoupling approximation of electric and elastic problem. Obtained
results explain the ferroelectricity conservation in Pb(Zr,Ti)O₃ and BaTiO₃ nanotubes
observed by using Piezoelectric Force Microscopy