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The interplay between magnetism and topological electronic structure offers alarge freedom to design strong anomalous Hall effect (AHE) materials. A nodalline from band inversion is a typical band structure to generate strong AHE.Whereas, in most collinear antiferromagnets (AFMs), the integration of Berrycurvatures on Brillouin zone is forced to zero by the joint $TO$ symmetry,where $T$ and $O$ are time reversal and a space group operation, respectively.Even with inverted band structures, such kind of AFM cannot have AHE.Therefore, so far, AFM nodal line band structures constructed by spindegenerated bands didn't get much attentions in AHE materials. In this work, weillustrate that such kind of band structure indeed provides a promisingstarting point to generated strong local Berry curvature by perturbations and,therefore, strong intrinsic AHE. In specific AFM compounds of$A$MnBi$_2$($A$=Ca and Yb) with inverted band structure, we found a strong AHEinduced by a weak spin canting, and due to nodal line in the band structure theanomalous Hall conductivity keeps growing as the canting angle increases. Sincesuch spin-canting can be adjusted via doping experimentally, it providesanother effective strategy to generate and manipulate strong AHE

Design strong anomalous Hall effect via spin canting in antiferromagnetic nodal line materials