Onsager reciprocal relation between anomalous transverse coefficients of an anisotropic antiferromagnet

Abstract

Whenever two irreversible processes occur simultaneously, time-reversal symmetry of microscopic dynamics gives rise, on a macroscopic level, to Onsager's reciprocal relations, which impose constraints on the number of independent components of any transport coefficient tensor. Here, we show that in the antiferromagnetic YbMnBi${}_2$, which displays a strong temperature-dependent anisotropy, the Onsager's reciprocal relations are strictly satisfied for anomalous electric (${\sigma }_{ij}^A$) and anomalous thermoelectric (${\alpha }_{ij}^A$) conductivity tensors. In contradiction with what was recently reported by Pan $etal.$ [Nat.Mater. 21, 203 (2022)], we find that ${\sigma }_{ij}^A(H)={\sigma }_{ji}^A(-H)$, and ${\alpha }_{ij}^A(H)={\alpha }_{ji}^A(-H)$. This equality holds in the whole temperature window irrespective of the relative weights of the intrinsic or extrinsic mechanisms. The ${\alpha }_{ij}^A/{\sigma }_{ij}^A$ ratio is close to $k_B/e$ at room temperature, but peaks to an unprecedented magnitude of 2.9 $k_B/e$ at $\sim$ 150 K, which may involve nondegenerate carriers of small Fermi surface pockets.

6 pages, 4 figures,Supplemental Materials included

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• ErMn${}_6$Sn${}_6$: A Promising Kagome Antiferromagnetic Candidate for Room-Temperature Nernst Effect-based thermoelectrics
• Enhanced Anomalous Nernst Effect in the Ferromagnetic Kondo Lattice CeCo2As2
• Design Principles for Topological Thermoelectrics