Probing magnetic anisotropy and spin-reorientation transition in 3D antiferromagnet, Ho$_{0.5}$Dy$_{0.5}$FeO$_{3}\vert$Pt using spin Hall magnetoresistance

TL;DR

This study uses spin Hall magnetoresistance to investigate magnetic anisotropy and spin reorientation transitions in a 3D antiferromagnetic orthoferrite, Ho$_{0.5}$Dy$_{0.5}$FeO$_{3}$|Pt, revealing temperature-dependent domain switching and phase changes.

Contribution

It demonstrates the effectiveness of SMR in probing magnetic anisotropy and spin reorientation in a complex antiferromagnetic material, providing insights into temperature and field effects.

Findings

Critical field for domain switching is approximately 713 Oe.

SMR exhibits skewed modulation and hysteresis that decrease with increasing magnetic field.

Below 25 K, a phase transition is indicated by abrupt SMR changes.

Abstract

Orthoferrites ($RE$FeO$_{3}$) containing rare-earth ($RE$) elements are 3D antiferromagnets (AFM) that exhibit characteristic weak ferromagnetism originating due to slight canting of the spin moments and display a rich variety of spin reorientation transitions in the magnetic field ($H$)-temperature ($T$) parameter space. We present spin Hall magnetoresistance (SMR) studies on a $b$-plate ($ac$-plane) of crystalline Ho$_{0.5}$Dy$_{0.5}$FeO$_{3}|$Pt (HDFO$|$Pt) hybrid at various $T$ in the range, 11 to 300 K. In the room temperature $\Gamma_4(G_x, A_y, F_z)$ phase, the switching between two degenerate domains, $\Gamma_4(+G_x, +F_z)$ and $\Gamma_4(-G_x, -F_z)$ occurs at fields above a critical value, $H_{\text{c}} \approx 713$ Oe. Under $H > H_{\text{c}}$, the angular dependence of SMR ($\alpha$-scan) in the $\Gamma_4(G_x, A_y, F_z)$ phase yielded a highly skewed curve with a sharp change (sign-reversal) along with a rotational hysteresis around $a$-axis. This hysteresis decreases with an increase in $H$. Notably, at $H < H_{\text{c}} $, the $\alpha$-scan measurements on the single domain, $\Gamma_4(\pm G_x, \pm F_z)$ exhibited an anomalous sinusoidal signal of periodicity 360 deg. Low-$T$ SMR curves ($H$ = 2.4 kOe), showed a systematic narrowing of the hysteresis (down to 150 K) and a gradual reduction in the skewness (150 to 52 K), suggesting weakening of the anisotropy possibly due to the $T$-evolution of Fe-$RE$ exchange coupling. Below 25 K, the SMR modulation showed an abrupt change around the $c$-axis, marking the presence of $\Gamma_2(F_x,C_y,G_z)$ phase. We have employed a simple Hamiltonian and computed SMR to examine the observed skewed SMR modulation. In summary, SMR is found to be an effective tool to probe magnetic anisotropy as well as a spin reorientation in HDFO. Our spin-transport study highlights the potential of HDFO for future AFM spintronic devices.