Correlation between the mobility of domain wall and polarization flop direction in a slanted magnetic field in the helimagnetic ferroelectrics Tb1−xDyx

Possible coexistence of cycloidal phases, magnetic field reversal of polarization, and memory effect in multiferroic R0.5Dy0.5MnO3 (R = Eu and Gd)

“…In TMO, it is known that the polarization changes its direction from c-to a-axis when magnetic field is applied along the b-direction [1,26]. However, the observed polarization along a-direction is smaller because of the lack of complete flipping of bc cycloidal phase due to high domain wall formation energy which is determined by the competition between Zeeman energy and magnetic anisotropy [27][28][29]. In the present case, the polycrstalline TMO shows only a small decrease in polarization (∆P ≈ −12% at 80 kOe) with magnetic field as shown in inset of Fig.…”

Spin Chirality of Cu3 and V3 Nanomagnets. 2. Frustration, Temperature, and Distortion Dependence of Spin Chiralities and Magnetization in the Rotating and Tilted Magnetic Fields

“…The times of the slow left and fast reverse right angle rotations in the smoothed sawtooth oscillation γ κ of the vector κ R can be estimated using ϕ m on an example of the uniform polar Δ a = 90° rotation of the field H 1 1T with the angular velocity ω H 0 = 0.5°/s in this range Δ a , which occurs within the time t 1 = 180 s. In this case, the time t 1 s of the slower CCW rotation (γ 1α slow ) under large field rotation Δϕ = ϕ m up to the left maximum tilt [+γ κ max (ϕ m )] at ϕ m (γ κ max (ϕ m ) ≈ 39° < ϕ m ≈71°) is t 1 s ≈ 142 s (Figure b), while the time t 1 f of the following faster reverse (CW) rotation (−γ̲ 2β fast ) is t 1 f ≈ 38 s, for Δϕ′ ≈ 19° < γ κ max , where t 1 s + t 1 f = t 1 .…”

“…The vector chirality in multiferroics was investigated in a sweeping tilted field H ζ ; the specific vector chirality behavior and manipulation of the electric polarization and chirality in the slanted fields were observed. − For the DM trimers, an increase of the strength H ζ of the tilted field H ζ leads to the nonlinear Zeeman levels. , The behavior of the vector and scalar chiralities and magnetization of the nonlinear Zeeman levels of these trimers, the magnetochiral correlations and frustration, as well as the temperature dependence of the spin chiralities, under an increase of the strength of the tilted field H ζ , are of interest for possible application of the chiralities of the V 3 and Cu 3 DM trimers in the tilted magnetic field.…”

Thermomagnetic Properties of Dy0.9Ho0.1MnO3 Multiferroics

“…These interactions vary with ionic radius of the rare‐earth ion, i.e., the ordering is less competent with lesser ionic radii of “R” ion. [ 11 ] Similarly, Abe et al [ 13 ] studied Tb 1− x Dy x MnO 3 single‐crystalline system and reported an enhancement of dielectric permittivity in the sample. They attributed this result to the mobility of domain walls of the ferroelectric cycloidal magnetic state.…”