Direct and converse nonlinear magnetoelectric coupling in multiferroic composites with ferromagnetic and ferroelectric phases

Abstract

In this paper, we develop a theoretical principle to calculate the direct and converse magnetoelectric (ME) coupling response of ferromagnetic/ferroelectric composites with 2–2 connectivity. We first present an experimentally based constitutive equation for Terfenol-D, and then build the mechanism of domain switch for the ferroelectric phase. In the latter, the change of Gibbs free energy, thermodynamic driving force and kinetic equations for domain growth are also established. These two sets of constitutive equations are shown to capture the experimental data of Terfenol-D and PZT, respectively, well. For the direct effect under an applied magnetic field, the induced electric field and the overall ME coupling coefficient are determined. For the converse effect under an applied electric field, the induced magnetization and the excited magnetic field are obtained. Both the induced electric filed under direct effect and the excited magnetic field under converse effect are shown to display the hysteretic characteristics, and also in good agreement with experiments. We conclude that the developed theory can both qualitatively and quantitatively reflect the essential features of nonlinear direct and converse ME coupling of the multiferroic composites.

A FEM-BEM coupling strategy for the modeling of magnetoelectric effects in composite structures

“…The reduced magnetic scalar potential and the linear strain vector in the weak formulation (26) are discretized using (42) and (43). For the boundary term, from the discrete point of view it is the set composed by the restriction to the facets belonging to ∂Ω h of the elements used for the discretization of Ω h .…”

“…To describe and predict the behavior and effective properties of ME composites considering the microstructures and anisotropies of the materials, various micromechanical analyses have been developed. Such analytical or semi-analytical solutions are for example based on the homogenization and self-consistent models [38,39,40,41,42], Mori-Tanaka mean field theory [43,44], variational asymptotic approach [45,46] or Eshelby's equivalent inclusion approach [47,48].…”

Магнитострикция Через Магнитоэлектричество: Использование Магнитоэлектрического Отклика Для Определения Магнитострикционных Характеристик Композиционных Мультиферроиков

“…Если величина пьезоэлектрического модуля определяется довольно точно (например, методом резонанса-антирезонанса), то при измерении магнитострикции возникают некоторые трудности вследствие малости эффекта в области малых полей. Область малых полей особенно интересна тем, что в ней проявляется нелинейный МЭ-эффект, на основе которого возможно создание целого ряда датчиков магнитного поля с чувствительностью, значительно превышающей чувствительность датчиков Холла [4,5]. Для измерения магнитострикции, как правило, используются тензодатчики, которые вносят дополнительную погрешность в величину деформации, возникающей под действием магнитного поля.…”

Coupled spin-charge dynamics in magnetic van der Waals heterostructures

“…Such spin-charge conversion has been a key enabler of spintronics technology, which has attracted rigorous interest as an alternate to charge-based technology [5,6]. Consequently, a number of fundamental phenomena allowing for conversion between spin and charge has been uncovered in the recent past, which includes reciprocal pairs such as spin torque-spin pumping [7][8][9], spin Hall-inverse spin Hall effect [10][11][12][13], Rashba Edelstein-inverse Rashba Edelstein effect [14][15][16], and direct-converse magneto-electric effect [17,18]. The search for alternate low-dissipation mechanisms and material platforms for efficient conversion between spin and charge is an active area of research [6].…”