Large intrinsic anomalous Hall effect in both Nb2FeB2 and Ta2FeB2 with collinear antiferromagnetism

It is rarely reported that collinear antiferromagnetic (AFM) metals can exhibit the anomalous Hall effect (AHE). In this Letter, based on symmetry analysis and the first-principles electronic structure calculations, we predict that two existing collinear antiferromagnets ${\mathrm{Nb}}_{2}{\mathrm{FeB}}_{2}$ and ${\mathrm{Ta}}_{2}{\mathrm{FeB}}_{2}$, whose N\'eel temperatures are above room temperature, have a very large AHE with anomalous Hall conductance (AHC) $\ensuremath{-}100$ and $\ensuremath{-}54\phantom{\rule{4pt}{0ex}}{\mathrm{\ensuremath{\Omega}}}^{\ensuremath{-}1}\phantom{\rule{0.16em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1}$, respectively. We further complete the symmetry requirements for realizing the AHE in collinear antiferromagnetism.