Landau Theory of Domain Wall Magnetoelectricity

Abstract

We calculate the exact analytical solution to the domain wall properties in a multiferroic system with two order parameters that are coupled bi-quadratically. This is then adapted to the case of a magnetoelectric multiferroic material such as BiFeO3, with a view to examine critically whether the domain walls can account for the enhancement of magnetization reported for thin films fo this material, in view of the correlation between increasing magnetization and increasing volume fraction of domain walls as films become thinner. The present analysis can be generalized to describe a class of magnetoelectric devices based upon domain walls rather than bulk properties.

9 pages, 4 figures

References in corpus (7)

• Room temperature coexistence of large electric polarization and magnetic order in BiFeO3 single crystals
• The ferroelectric-paraelectric phase transition in BiFeO3: crystal structure of the orthorhombic beta-phase
• Fractal dimension and size scaling of domains in thin films of multiferroic BiFeO3
• First-principles study of ferroelectric domain walls in multiferroic bismuth ferrite
• Bi(1-x)R(x)FeO(3)(R=rare earth): a family of novel magnetoelectrics
• Electric field effect on BiFeO${}_3$ single crystal investigated by Raman spectroscopy
• Universality of the Scaling Law for Ferroic Domains

Cited by in corpus (25)

• Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology
• Conduction through 71o domain walls in BiFeO3 thin films
• Conduction at domain walls in insulating Pb(Zr${}_{0.2}$Ti${}_{0.8}$)O${}_3$ thin films
• Ferroelectricity at ferroelectric domain walls
• 180 degree Ferroelectric Stripe Nanodomains in BiFeO3 Thin Films
• Coexistence of cluster spin glass and superconductivity in Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ for $0.060\le x\le 0.071$
• Correlation Between Structure And C-Afm Contrast Of 180-Degree Domain Walls In Rhombohedral Bati03
• Universal emergence of spatially-modulated structures induced by flexo-antiferrodistortive coupling in multiferroics
• A dynamical magnetic field accompanying the motion of ferroelectric domain walls
• Manipulation of Conductive Domain Walls in Confined Ferroelectric Nano-islands
• Electric polarization of magnetic textures: new horizons of micromagnetism
• Exploring physics of ferroelectric domain walls via Bayesian analysis of atomically resolved STEM data
• Domain Wall Roughness in Stripe Phase BiFeO${}_3$ Thin Films
• Mapping gradient-driven morphological phase transition at the conductive domain walls of strained multiferroic films
• First-principles based Landau-Devonshire potential for BiFeO${}_3$
• Periodic elastic nanodomains in ultrathin tetrogonal-like BiFeO3 films
• Pinning of magnetic domain walls in multiferroics
• On the link between Octahedral Rotations and Conductivity in the Domain Walls of BiFeO3
• Non-Ising domain walls in c-phase ferroelectric lead titanate thin films
• Mesoscopic mechanism of the domain wall interaction with elastic defects in ferroelectrics
• Incommensurate atomic and magnetic modulations in the spin-frustrated β-NaMnO2 triangular lattice
• Dynamical systems study in single-phase multiferroic materials
• Cell dynamics simulations of coupled charge and magnetic phase transformation in correlated oxides
• Dynamics of Composite Domain Walls in Multiferroics in Magnetic Field and Their Instability
• Intrinsic structural instabilities of domain walls driven by gradient couplings: meandering anferrodistortive-ferroelectric domain walls in BiFeO3