Scaling relation between anomalous Nernst and Hall effect in [Pt/Co]n multilayers

The anomalous Nernst coefficient, anomalous Hall angle, and Seebeck coefficient have been measured in the same series of [Pt/Co](n) superlattices in which spin-orbit coupling is dominated by interfaces. With an increase in the number of interfaces from 1 to 15, the anomalous Nernst coefficient and anomalous Hall angle simultaneously increase, by 350% and 430%, respectively. Furthermore, they even scale linearly with each other, while the Seebeck coefficient and magnetization of the superlattices vary a little. Based on the linear scaling relation, a physical scenario behind the anomalous Nernst effect, as well as a formula relating the Nernst coefficient, the Hall angle, and the Seebeck coefficient, is proposed. The work not only demonstrates an effective way to enhance the anomalous Nernst effect in ferromagnetic conductors but also can bring about deeper insight into the anomalous Nernst effect.