The Features of the Flexomagnetoelectric Effect in an External Magnetic Field

Influence of the magnetic field on the nucleation and properties of 0-degree domain walls in uniaxial films with inhomogeneous magnetoelectric interaction

“…Then, the energy of such a magnet, reduced to the crosssectional area of the film by the Oxz plane, will have the following form [15,16]:…”

“…where E − represents the total energy density of the magnetics, which corresponds to the integrand in (1), enclosed in curly brackets, the dash indicates the derivative in y. Equation ( 4) is a system of nonlinear differential equations with nonconstant coefficients, which in this case can be solved only by numerical methods [15,16]. At the same time, for convenience, we use the given values:…”

“…Let us now take into account the influence of the external magnetic field on the structure and properties of 0 • DW (I). (When a magnetic field is applied along the x-axis, the magnetization vector in the M 0 domains deviates in the direction of the field by an angle of θ 0 , depending on the magnitude of h (θ 0 = arcsin (h)) [15]. Accordingly, the maximum angle of deviation ∆θ m = θ m − θ 0 , reported from the homogeneous state, in the nascent 0 • DW (1) will decrease with increasing magnitude h. At the same time, the maximum value of θ m practically does not change, whereas φ m absolute terms) decreases (figure 3).…”

“…In addition, the study of the influence of the Zeeman interaction on the degree of manifestation of the FME effect in ferrite-garnet films showed [7,13] that if the external magnetic field is directed perpendicular to the plane of rotation of the magnetic moments 180 • DW, then by changing the magnitude and direction of the field, it is possible to adjust the magnitude of the effect (more precisely, the value of the integral polarization [7,13,14]) and even 'switch' the nature of the interaction from attraction to repulsion. The latter property can serve as an additional argument in favor of the FME nature of the phenomenon under consideration [15] as well as for practical applications. It should be noted that experimental studies in this situation [7,13] are in good agreement with the results of its theoretical substantiation based on the phenomenological model [14,15].…”

“…The latter property can serve as an additional argument in favor of the FME nature of the phenomenon under consideration [15] as well as for practical applications. It should be noted that experimental studies in this situation [7,13] are in good agreement with the results of its theoretical substantiation based on the phenomenological model [14,15]. At the same time, in [16], the calculations of possible magnetic inhomogeneities in a uniaxial ferromagnet with inhomogeneous magnetoelectric interaction were carried out for the first time.…”