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Since the discovery of the anomalous Hall effect (AHE), the anomalous Hallconductivity (AHC) has been thought to be zero when there is no netmagnetization. However, the recently found relation between the intrinsic AHEand the Berry curvature predicts other possibilities, such as a large AHC innon-colinear antiferromagnets with no net magnetization but net Berrycurvature. Vice versa, the AHE in principle could be tuned to zero,irrespective of a finite magnetization. Here, we experimentally investigatethis possibility and demonstrate that, the symmetry elements of Heusler magnetscan be changed such that the Berry curvature and all the associated propertiesare switched while leaving the magnetization unaffected. This enables us totune the AHC from 0 {\Omega}-1cm-1 up to 1600 {\Omega}-1cm-1 with anexceptionally high anomalous Hall angle up to 12 %, while keeping themagnetization same. Our study shows that the AHC can be controlled byselectively changing the Berry curvature distribution, independent of themagnetization.

From colossal to zero: Controlling the Anomalous Hall Effect in Magnetic Heusler Compounds via Berry Curvature Design