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We study the mechanism of the exceptionally large anomalous Hall effect (AHE)in the noncentrosymmetric antiferromagnet$\mathrm{Co}\mathrm{Nb}_3\mathrm{S}_6$ by angle-resolved photoemissionspectroscopy (ARPES) and magnetotransport measurements. From ARPES measurementsof $\mathrm{Co}\mathrm{Nb}_3\mathrm{S}_6$ and its family compounds($\mathrm{Fe}\mathrm{Nb}_3\mathrm{S}_6$ and$\mathrm{Ni}\mathrm{Nb}_3\mathrm{S}_6$), we find a band dispersion unique tothe Co intercalation existing near the Fermi level. We further demonstrate thata slight deficiency of sulfur in $\mathrm{Co}\mathrm{Nb}_3\mathrm{S}_6$eliminates the ferromagnetism and the AHE simultaneously while hardly changingthe band structure, indicating that the weak ferromagnetism is responsible forthe emergence of the large AHE. Based on our results, we propose Weyl pointsnear the Fermi level to cause the large AHE.

Large anomalous Hall effect induced by weak ferromagnetism in the noncentrosymmetric antiferromagnet $\mathrm{Co}\mathrm{Nb}_3\mathrm{S}_6$