Magnetoelectric coupling in a ferroelectric/ferromagnetic chain revealed by ferromagnetic resonance

Abstract

Understanding the multiferroic coupling is one of the key issues in the field of multiferroics. As shown here theoretically, the ferromagnetic resonance (FMR) renders possible an access to the magnetoelectric coupling coefficient in composite multiferroics. This we evidence by a detailed analysis and numerical calculations of FMR in an unstrained chain of BaTiO3 in the tetragonal phase in contact with Fe, including the effect of depolarizing field. The spectra of the absorbed power in FMR are found to be sensitive to the orientation of the interface electric polarization and to an applied static electric field. Here we propose a method for measuring the magnetoelectric coupling coefficient by means of FMR.

On the superparamagnetic size limit of nanoparticles on a ferroelectric substrate

“…As discussed in previous studies [10,27,59,60] the magnetoelectric coupling at the FE/FM interface is due to a spin-polarized charge rearrangement (screening) and can be modeled by E C /(V C ) = λP 1 · M, where λ is a pseudoscalar characterizing the strength of this coupling, and P 1 is the polarization at the FM interface [61]. The FM system is considered as a coherently rotating macroscopic magnetization, the dynamics of which is governed by eqs.…”

“…From this perspective, coupled ferroelectric/magnetic nanostructures [6,7,8,9] such as those shown in Fig. 1 are highly interesting: Indeed, studying the ferromagnetic resonance behavior of such a composite material we have shown recently theoretically [10] that the magnetoelectric (ME) coupling acts as an additional unidirectional anisotropy that can be influenced by an electric field due to the electric response of the ferroelectric part of the composite structure. These predictions were subsequently confirmed in a recent experiment for Co/BaTiO 3 -interface [11].…”

“…Hence, an efficient electric field control of magnetism is possible only in close proximity of the interface. In the present work we exploit two advantages: 1) we consider nano systems where the aforementioned proximity is a major part of the whole object, and 2) we concentrate on a phenomena that is influenced by the magnetoelectric coupling in an exponential manner (because ME-coupling acts an additional anisotropy [10,11]), circumventing thus the obstacle of a small ME coupling. The purpose of the current study is to formulate the posed problem rigorously and to conduct numerical simulations to quantify the above statements and expectations.…”

Dynamic response in a finite size composite multiferroic thin film

“…Recently, the discovery of coupled ferromagnetism and ferroelectricity has strongly revived interest in the field of multiferroism, theoretically [1,2,3,4,5,6] and experimentally [7,8], due to the remarkable effects of the induced magnetization by applying an electric field and the induced polarization by an applied magnetic field [9]. This phenomenon is called magnetoelectric effect.…”

Spin dynamics in driven composite multiferroics

“…iron, cobalt or nickel), whereas the FE part is, for instance, BaTiO3 or PbTiO3. Recently, this type of materials has received much theoretical [2][3][4][5][6][7][8][9][10] and experimental [11,12] investigation, due to induce electric polarization (magnetization) by applying a magnetic (electric) field. This phenomenon is called the magneto-electric (ME) effect, it was first discovered by P. Curie in 1894 [13].…”