Anomalous Nernst and Hall effects in magnetized platinum and palladium

Abstract

We study the anomalous Nernst effect (ANE) and anomalous Hall effect (AHE) in proximity-inducedferromagnetic palladium and platinum which is widely used in spintronics, within the Berry phase formalismbased on the relativistic band-structure calculations. We find that both the anomalous Hall (σxyA) and Nernst (αxyA)) conductivities can be related to the spin Hall conductivity (σxyS) ) and band exchange splitting (Δex) by relations αxyA = ΔexħeσxyS(EF)` and αxyA = – 3π2ħkB2TΔexσxyS(μ)" respectively. In particular, these relations wouldpredict that the axy in the magnetized Pt (Pd) would be positive (negative) since the σxyS(EF)` is positive (negative).Furthermore, both σxyA and αxyA are approximately proportional to the induced spin magnetic moment (ms) becausethe Aev is a linear function of ms. Using the reported ms in the magnetized Pt and Pd, we predict that the intrinsicanomalous Nernst conductivity (ANC) in the magnetic platinum and palladium would be gigantic, being up toten times larger than, e.g., iron, while the intrinsic anomalous Hall conductivity (AHC) would also be significant.