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Co$_3$Sn$_2$S$_2$ is believed to be a magnetic Weyl semimetal. It displays large anomalous Hall, Nernst and thermal Hall effects with a remarkably large anomalous Hall angle. Here, we present a comprehensive study of how substituting Co by Fe or Ni affects the electrical and thermoelectric transport. We find that doping alters the amplitude of the anomalous transverse coefficients. The maximum decrease in the amplitude of the low-temperature anomalous Hall conductivity $\sigma^A_{ij}$ is twofold. Comparing our results with theoretical calculations of the Berry spectrum assuming a rigid shift of the Fermi level, we find that given the modest shift in the position of the chemical potential induced by doping, the experimentally observed variation occurs five times faster than expected. Doping affects the amplitude and the sign of the anomalous Nernst coefficient. Despite these drastic changes, the amplitude of the $\alpha^A_{ij}/\sigma^A_{ij}$ ratio at the Curie temperature remains close to $\approx 0.5 k_B/e$, in agreement with the scaling relationship observed across many topological magnets., Comment: 8 pages, 8 figures

Additional file 1: Fig. S1. The coding potential of AC092894.1 and the gene location. (A)Coding potential score of AC092894.1measured based on CPC2.0. (B) Genomic structure of AC092894.1. Fig. S2. Knockdown of AC092894.1 inhibits the sensitivity of CRC cells to oxaliplatin. (A) Cell viability of HCT116 and HCT116-OxR cells treated with different concentrations of oxaliplatin for 48 h. (B) Knockdown efficiency of AC092894.1 detected by RT-qPCR. (C-H) The effect of oxaliplatin treatment after 48h was detected by CCK-8, colon formation, and apoptosis after knockdown of AC092894.1. (I) At the indicated concentrations, CCK-8 assayed the sensitivity of HCT116-OxR to 5-Fu. (J) At the indicated concentrations, CCK-8 assayed the sensitivity of HCT116-OxR to Irinotecan. (K) Overexpression of AC092894.1 on cells detected by CCK-8 after treatment with the indicated concentrations of 5-Fu for 48 h. (L) Overexpression of AC092894.1 on cells detected by CCK-8 after treatment with the indicated concentrations of Irinotecan for 48 h. Fig. S3. AC092894.1 does not promote chemo-sensitivity in CRC cells via the TNF signaling pathway.(A) Western blotting to assess TNF-α expression. (B)RT-qPCR assay of RASGRP3 expression in HCT116-OxR after overexpression of AC092894.1. Fig. S4. Effect of knockdown of RASGRP3 on p-p38 expression.Expression of p-p38 in cell lysates detected by western blotting; α-Tubulin was used as a control. Fig. S5. Expression of USP3 in patient tissues and detection of knockdown efficiency in cells. (A) Expression of USP3 in our cohort of CRC patients sensitive (n = 28) and resistant (n=22) to oxaliplatin treatment. (B) Western blotting to detect USP3 expression in cell lysates after silencing USP3 by siRNA in LoVo-OxR (AC092894.1) cells. Fig. S6. Effect of overexpression of AC092894.1 on RASGRP3 expression in mouse tumors. Representative IHC images showing RASGRP3 expression in tumors from each group of mice. Fig. S7. Effect of knockdown of RASGRP3 on AC092894.1/USP/AR.(A)RT-qPCR to detect the expression of AC092894.1.(B) Western blotting to assess AR expression. (C) Western blotting to assess USP3 expression.

Additional file 2: Table S1. The clinical information of CRC patients. Table S2. The list of qPCR primers in this study. Table S3. Sequence of shRNA. Table S4. List of genes with >2-fold differential expression in the MAPK signalling pathway from RNA-seq results.

The off-diagonal (electric, thermal and thermoelectric) transport coefficients of a solid can acquire an anomalous component due to the non-trivial topology of the Bloch waves. We present a study of the anomalous Hall (AHE), Nernst (ANE) and thermal Hall effects (ATHE) in the Heusler Weyl ferromagnet Co$_2$MnGa. The Anomalous Wiedemann-Franz law, linking electric and thermal responses, was found to be valid over the whole temperature window. This indicates that the AHE has an intrinsic origin and the Berry spectrum is smooth in the immediate vicinity of the Fermi level. From the ANE data, we extract the magnitude and temperature dependence of $��^A_{ij}$ and put under scrutiny the $��^A_{ij}/��^A_{ij}$ ratio, which approaches k$_B$/e at room temperature. We show that in various topological magnets the room-temperature magnitude of this ratio is a sizeable fraction of k$_B$/e and argue that the two anomalous transverse coefficients depend on universal constants, the Berry curvature averaged over a window set by either the Fermi wavelength (for Hall) or the de Broglie thermal length (for Nernst). Since the ratio of the latter two is close to unity at room temperature, such a universal scaling finds a natural explanation in the intrinsic picture of anomalous transverse coefficients., 5 pages, 4 figures, supplemental material included