Evolution of 180°, 90°, and vortex domains in ferroelectric films

Abstract

Ferroelectric domain wall relaxation in Ba 0.25 Sr 0.75 Ti O 3 films displaying Curie-Weiss behavior

Domain dynamics and fractal growth analysis in thin ferroelectric films

“…The presence of crystal defects introduced by an intrinsic pinning field influences the domain walls to have a fractal character as was observed experimentally. Together with our earlier work on the application of this theory to the formation of 90°, 180°, and vortex domains, 19 the dynamical extension does indeed enhance the utility of this straightforward method. The areal velocity of the domain growth at low fields shows a creeplike behavior followed by pinningdepinning transition and finally reaches the flow regime, which is in good agreement with experimental findings.…”

“…18 We have calculated the Hausdorff dimension and our results are in good agreement with experimental numbers. 21,22 Our model can be applied to study nanosystems with ferroelectric vortex domains 19 where one has to employ in-plane polarization coupling terms in Eq. 15 Our aim here is to demonstrate the versatility of the time-dependent adaptation of the well-known Landau-Devonshire free energy to the dynamics of ferroelectric thin films.…”

“…19 In this article, we employ the same equation in two-dimensions ͑2D-TDGL equation͒ but solved using the finite-difference-time-domain scheme, for investigating the ͑i͒ domain growth and ͑ii͒ characteristic domain wall dynamics, in ferroelectric thin films. Recently, we have applied the time-dependent Ginzburg-Landau ͑TDGL͒ equation, within the finite element framework, for understanding the evolution of 180°, 90°, and vortex domain states in ferroelectric films with crucial boundary conditions.…”

Complex polarization ordering inPbTiO3nanowires: A first-principles computational study

“…Such closure domains in nanoscale ferroelectrics have indeed been predicted in the recent past. [9][10][11][12][13][14][15][16][17][18][19] Fig. 1͑a͒, for example, illustrates the preferred polarization configuration in a 48 Å ϫ 48 Å ϫ 48 Å PbZr 0.40 Ti 0.60 O 3 nanodots terminated by the ͕001͖ family of surfaces, predicted using effective Hamiltonian simulations ͑parameterized using firstprinciples data͒.…”

Modeling of ferroelectric domain imaging by atomic force microscopy

“…Numerical solution of Landau-Ginzburg-Devonshire equation is obtained to study local hysteresis and domain nucleation in BiFeO 3 thin films. 28 In this paper we design a similar model that captures the very basic yet the essential dynamics of the tip interacting with the ferroelectric sample to ͑i͒ determine orientation of domains, ͑ii͒ study polarization switching over a nanoregion initiated by mechanical force, and ͑iii͒ obtain local hysteresis. 19 An in-depth analysis of polarization redistribution after nucleation induced by the electric field tip is studied using a classical energy approach.…”