Anomalous Hall Effect in Kagome Ferrimagnet GdMn$_6$Sn$_6$

TL;DR

This study investigates the anomalous Hall effect in GdMn$_6$Sn$_6$, revealing significant intrinsic contributions linked to its kagome lattice structure, and demonstrates that large Berry phase effects are not limited to low-dimensional systems.

Contribution

The paper provides the first detailed analysis of the intrinsic anomalous Hall effect in GdMn$_6$Sn$_6$, showing its large Berry curvature contributions and highlighting the role of three-dimensionality in such effects.

Findings

Large intrinsic anomalous Hall conductivity values comparable to other kagome systems.

Electronic structure best described as three-dimensional, challenging the notion that low dimensionality is necessary.

Coexistence of rare-earth and transition metal magnetism offers tunability of electronic and magnetic properties.

Abstract

We present magnetotransport data on the ferrimagnet GdMn$_6$Sn$_6$. From the temperature dependent data we are able to extract a large instrinsic contribution to the anomalous Hall effect $\sigma_{xz}^{int} \sim$ 32 $\Omega^{-1}cm^{-1}$ and $\sigma_{xy}^{int} \sim$ 223 $\Omega^{-1}cm^{-1}$, which is comparable to values found in other systems also containing kagome nets of transition metals. From our transport anisotropy, as well as our density functional theory calculations, we argue that the system is electronically best described as a three dimensional system. Thus, we show that reduced dimensionality is not a strong requirement for obtaining large Berry phase contributions to transport properties. In addition, the coexistence of rare-earth and transition metal magnetism makes the hexagonal MgFe$_6$Ge$_6$ structure type a promising system to tune the electronic and magnetic properties in future studies.