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The off-diagonal (electric, thermal and thermoelectric) transportcoefficients of a solid can acquire an anomalous component due to thenon-trivial topology of the Bloch waves. We present a study of the anomalousHall (AHE), Nernst (ANE) and thermal Hall effects (ATHE) in the Heusler Weylferromagnet Co$_2$MnGa. The Anomalous Wiedemann-Franz law, linking electric andthermal responses, was found to be valid over the whole temperature window.This indicates that the AHE has an intrinsic origin and the Berry spectrum issmooth in the immediate vicinity of the Fermi level. From the ANE data, weextract the magnitude and temperature dependence of $\alpha^A_{ij}$ and putunder scrutiny the $\alpha^A_{ij}/\sigma^A_{ij}$ ratio, which approachesk$_B$/e at room temperature. We show that in various topological magnets theroom-temperature magnitude of this ratio is a sizeable fraction of k$_B$/e andargue that the two anomalous transverse coefficients depend on universalconstants, the Berry curvature averaged over a window set by either the Fermiwavelength (for Hall) or the de Broglie thermal length (for Nernst). Since theratio of the latter two is close to unity at room temperature, such a universalscaling finds a natural explanation in the intrinsic picture of anomaloustransverse coefficients.

Anomalous transverse response of Co$_2$MnGa and universality of the room-temperature $\alpha^A_{ij}/\sigma^A_{ij}$ ratio across topological magnets