# Magnetotransport properties in a noncentrosymmetric itinerant magnet Cr$_{11}$Ge$_{19}$

## TL;DR

This study explores the anomalous Hall effect and magnetoresistance in the noncentrosymmetric itinerant magnet Cr$_{11}$Ge$_{19}$, revealing temperature-dependent electronic structure changes likely due to spin splitting from broken inversion symmetry.

## Contribution

It provides new insights into the temperature-dependent transport properties of Cr$_{11}$Ge$_{19}$, highlighting the role of electronic structure and spin splitting in noncentrosymmetric magnets.

## Key findings

- Anomalous Hall conductivity proportional to magnetization above 30 K
- Enhanced anomalous Hall conductivity at lower temperatures
- Emergence of anisotropic magnetoresistance around 30 K

## Abstract

We have investigated anomalous Hall effect and magnetoresistance in a noncentrosymmetric itinerant magnet Cr$_{11}$Ge$_{19}$. While the temperature- and magnetic-field-dependent anomalous Hall conductivity is just proportional to the magnetization above 30 K, it is more enhanced in the lower temperature region. The magnitude of negative magnetoresistance begins to increase toward low temperature around 30 K. The anisotropic magnetoresistance emerges at similar temperature. Because there is no anomaly in the temperature dependence of magnetization around 30 K, the origin of these observations in transport properties is ascribed to some electronic structure with the energy scale of 30 K. We speculate this is caused by the spin splitting due to breaking of spatial inversion symmetry.