Direct electrical probing of anomalous Nernst conductivity

Despite the usefulness of the anomalous Nernst conductivity (${\alpha }_{xy}^A$) for studying electronic band structures and exploring magnetic materials with large transverse thermopower, there has not been a straightforward way to obtain ${\alpha }_{xy}^A$ in the experiment. Here, we propose a simple and versatile method enabling direct electrical probing of ${\alpha }_{xy}^A$, which is realized by creating a closed circuit consisting of a target magnetic material and a non-magnetic conductor. This method was experimentally demonstrated on a thin film of magnetic Weyl semimetal Co${}_2$MnGa, where the closed circuit was formed simply by connecting both ends of the Co${}_2$MnGa film with a Au wire. A good approximation of ${\alpha }_{xy}^A$ was obtained in a wide temperature range, validating the proposed method and exhibiting its potential for aiding the further development of topological materials science and transverse thermoelectrics.