Scaling behavior of giant magnetotransport effects in Co/Cu superlattices

We have observed two forms of scaling in magnetotransport properties of (111) Co/Cu superlattices: (1) the extraoridnary Hall coefficient ${\mathit{R}}_{\mathit{s}}$ correlates with the resistivity ${\mathrm{\rho }}_{\mathit{x}\mathit{x}}$(0) in the form ${\mathit{R}}_{\mathit{s}}$∼${\mathrm{\rho }}_{\mathit{x}\mathit{x}}^2$(0), and (2) the magnetothermopower S(H) correlates with the magnetoresistivity ${\mathrm{\rho }}_{\mathit{x}\mathit{x}}$(H) in the form S(H)/T∼${\mathrm{\rho }}_{\mathit{x}\mathit{x}}$(0)/${\mathrm{\rho }}_{\mathit{x}\mathit{x}}$(H). The first effect relates to quantum mechanical side jump while the other relates to interfacial spin-dependent density of states (DOS). These results revel the different roles of bulklike spin-dependent scattering in Co layers and spin-dependent DOS of interfacial layers in causing the observed large positive extraodinary Hall effect and giant longitudinal magnetotransport.