Dynamics of Conducting Ferroelectric Domain Walls

Abstract

We report on the dynamics of a conducting domain wall under applied dc and ac voltages. These dynamics are modeled for a thin film that hosts an ideal charged domain wall via a combination of time-dependent Ginzburg-Landau equations for the polarization, the Schrödinger equation for the electron gas, and Poisson's equation for the electrostatic potential. The electron dynamics are treated within a Born-Oppenheimer approximation. We find that the electron gas introduces an additional degree of freedom, beyond polarization relaxation, that modifies the dynamical response of the domain wall. While marginally relevant for the dc response, the electron dynamics have a pronounced effect on the film's ac dielectric function. The dielectric function has an intrinsic contribution, due to the bulk susceptibility of the film, and an extrinsic contribution due to the domain-wall displacement. The elecron gas affects the dielectric function by changing both the amplitude and phase of the displacement.

References in corpus (13)

• Tailoring a two-dimensional electron gas at the LaAlO3/SrTiO3 (001) interface by epitaxial strain
• "Head-to-head" and "tail-to-tail" 180-degree domain walls in an isolated ferroelectric
• Low-energy Structural Dynamics of Ferroelectric Domain Walls in Hexagonal Rare-earth Manganites
• Pressure on charged domain walls and additional imprint mechanism in ferroelectrics
• Background dielectric permittivity: material constant or fitting parameter?
• Origin of Stationary Domain Wall Enhanced Ferroelectric Susceptibility
• Large Hall electron mobilities in head-to-head BaTiO${}_3$-domain walls
• R2D2 -- An equivalent-circuit model that quantitatively describes domain wall conductivity in ferroelectric LiNbO${}_3$
• Zig-zag charged domain walls in ferroelectric PbTiO${}_3$
• Charged domain walls in BaTiO${}_3$ crystals emerging from superdomain boundaries
• Towards the reproducible fabrication of conductive ferroelectric domain walls into lithium niobate bulk single crystals
• Evolution of domain structure with electron doping in ferroelectric thin films
• Influence of a Realistic Multiorbital Band Structure on Conducting Domain Walls in Perovskite Ferroelectrics