Switchable anomalous Hall effect by selective mirror symmetry breaking in a kagome magnet GdMn6Ge6

The crystal symmetry plays a pivotal role in protecting the nontrivial electronic states in a topological phase. Manipulation of the crystal symmetry and hence the nontrivial topological states would serve as a fertile ground to explore exotic topological properties. Combining experimental and theoretical investigations, we demonstrate herein the flexible switch of nontrivial topological states in the single phase of kagome magnet GdMn6Ge6. The intrinsic anomalous Hall effect caused by distinct Berry curvatures along different crystallographic directions is realized through selectively breaking the mirror symmetries in these directions by external magnetic field, which is fully supported by the first-principles calculations. Our results set an explicit example demonstrating the strong correlation between structure symmetry and nontrivial topological states, as well as the switchable topological properties in a single magnetic topological phase.