We study the anomalous Nernst effect (ANE) and anomalous Hall effect (AHE) in
proximity-induced ferromagnetic palladium and platinum which is widely used in
spintronics, within the Berry phase formalism based on the relativistic band
structure calculations. We find that both the anomalous Hall (ΟxyAβ)
and Nernst (Ξ±xyAβ) conductivities can be related to the spin Hall
conductivity (ΟxySβ) and band exchange-splitting (Ξexβ) by
relations ΟxyAβ=ΞexββeβΟxySβ(EFβ)β² and
Ξ±xyAβ=β3Ο2ββkB2βTΞexββΟxysβ(ΞΌ)",
respectively. In particular, these relations would predict that the
ΟxyAβ in the magnetized Pt (Pd) would be positive (negative) since
the ΟxySβ(EFβ)β² is positive (negative). Furthermore, both
ΟxyAβ and Ξ±xyAβ are approximately proportional to the
induced spin magnetic moment (msβ) because the Ξexβ is a linear
function of msβ. Using the reported msβ in the magnetized Pt and Pd, we
predict that the intrinsic anomalous Nernst conductivity (ANC) in the magnetic
platinum and palladium would be gigantic, being up to ten times larger than,
e.g., iron, while the intrinsic anomalous Hall conductivity (AHC) would also be
significant.Comment: Accepted for publication in the Physical Review