Large intrinsic anomalous Hall effect in both Nb${}_2$FeB${}_2$ and Ta${}_2$FeB${}_2$ with collinear antiferromagnetism

Abstract

It is rarely reported that collinear antiferromagnetic (AFM) metals can have 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 Nb${}_2$FeB${}_2$ and Ta${}_2$FeB${}_2$, whose Néel temperatures are above room temperature, have very large AHE with anomalous Hall conductance (AHC) -100 ${\Omega }^{-1}$ cm${}^{-1}$ and $-54{\Omega }^{-1}$ cm${}^{-1}$, respectively. We further complete the symmetry resquirements for realizing the AHE in collinear antiferromagnetism.

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