Anomalous electrical and thermal transport properties in the antiferromagnetic Weyl semimetals Mn$_3X$, $X$ = Sn, Ge.

The large Berry-curvature-driven Anomalous Hall (ANE) and Nernst (ANE) effects of Mn₃X (X= Sn, Ge) are theoretically examined and the calculated results agree well with the experiments as a function of the Fermi energy estimated by extra-Mn [Nature Commun. 12, 1-14 (2021), Nature Phys. 13, 1085-1090 (2017)]. These sizes of ANE (S_yx = 0.6 ∼ 1.5 μV/K) are also large enough compared with the ordinary ferromagnets at the same net-magnetization.  The anomalous Hall conductivity and the longitudinal conductivity are located within the intrinsic regime in the universal scaling relation between the longitudinal and Hall conductivity, indicating the topological origin in the electrical band structure. We also found that planer Hall effect accompanied by the positive longitudinal magneto-conductance in the magneto-transport measurements.  The such phenomena are considered to be induced by the chiral anomaly corroborated with the magnetic Weyl semimetal due to the additional fact of the clear evidence of Weyl nodes, which is provided by angle-resolved photoemission spectroscopy (ARPES) and the corresponding theoretical band structure [Nature Mater.16, 1090-1095 (2017)].