Mesoscopic structure of mixed type domain walls in multiaxial ferroelectrics

Abstract

The structure of 180-degree uncharged rotational domain wall in a multiaxial ferroelectric film is studied within the framework of analytical Landau-Ginzburg-Devonshire (LGD) approach. The Finite Element Modelling (FEM) is used to solve numerically the system of the coupled nonlinear Euler-Lagrange (EL) differential equations of the second order for two components of polarization. We show that the structure of the domain wall and corresponding (meta)stable phase of the film are controlled by a single master parameter, dimensionless ferroelectric anisotropy μ. We fitted the static profile of a solitary domain wall, calculated by FEM, with hyperbolic functions for polarization components, and extracted the five μ-dependent parameters from the fitting to FEM curves. The high accuracy of the fitting results allows us to conclude that the analytical functions can be treated as the high-accuracy variational solution of the static EL equations with cubic nonlinearity. We further derive the two-component analytical solutions of the static EL equations for a polydomain 180-degree domain structure in a multiaxial ferroelectric film. The analysis of the free energy dependence on the film thickness and boundary conditions at its surfaces allows to select the domain states corresponding to the minimal energy. The single-domain state is ground for zero polarization derivative at the surfaces, while the poly-domain states minimize the system energy for zero polarization at the surfaces. Counterintuitively, the energy of the polydomain states split into two levels 0 and 1 for zero polarization at the surfaces, and each of the levels is the infinite set of the close-energy sub-levels, which morphology is characterized by different structure of the two-component polarization nodes.

arXiv comment41 pages including 6 figures and Supplementary Materials

References in corpus (13)

• Domain walls of ferroelectric BaTiO3 within the Ginzburg-Landau-Devonshire phenomenological model
• Atomic-scale compensation phenomena at polar interfaces
• Fermi, Pasta, Ulam and a mysterious lady
• Elastic effects of vacancies in strontium titanate: Short- and long-range strain fields, elastic dipole tensors, and chemical strain
• Anisotropic conductivity of uncharged domain walls in BiFeO3
• Direct Observation of an Interface Dipole between Two Metallic Oxides Caused by Localized Oxygen Vacancies
• Bloch-type Domain Walls in Rhombohedral BaTiO3
• Defect driven flexo-chemical coupling in thin ferroelectric films
• Labyrinthine domains in ferroelectric nanoparticles: a manifestation of gradient-driven morphological transition
• Electric Field Control of Three-Dimensional Vortex States in Core-Shell Ferroelectric Nanoparticles
• Mapping gradient-driven morphological phase transition at the conductive domain walls of strained multiferroic films
• Bayesian inference in band excitation Scanning Probe Microscopy for optimal dynamic model selection in imaging
• Melting of Spatially Modulated Phases in La-doped BiFeO3 at Surfaces and Surface-Domain Wall Junctions

Cited by in corpus (2)

• Phenomenological description of bright domain walls in ferroelectric-antiferroelectric layered chalcogenides
• Landau-Ginzburg theory of charge density wave formation accompanying lattice and electronic long-range ordering