Anomalous off-diagonal thermal response in Mn$_{3}$Ge

We present a study of anomalous transverse response in non-collinear antiferromagnet Mn$_{3}$Ge down to sub-Kelvin temperature. Special attention is paid to the amplitude and temperature dependence of the anomalous Lorenz ratio $L^{A}_{ij}=\kappa^{A}_{ij}/T\sigma^{A}_{ij}$ relative to the Sommerfeld value. The contrast with Mn$_{3}$Sn [1] provides crucial information in the ongoing effort to identify the k-space location of the Weyl points. We also present measurements of the anomalous Ettingshausen and the anomalous Nernst effects in order to verify the Bridgman relation, a consequence of Onsager reciprocity.
[1] Xiaokang Li, PRL 119, 056601 (2017)