Side-Jump Mechanism for the Hall Effect of Ferromagnets

1970/12/01 by L. Berger · 40 citations
Physics and Astronomy · #Magnetic properties of thin films #Quantum and electron transport phenomena #Advanced Chemical Physics Studies

paper · doi:10.1103/physrevb.2.4559

Abstract

The center of mass of a wave packet undergoes a discontinuous and finite sideways displacement on scattering by a central potential, in the presence of spin-orbit interaction. This is the main Hall-effect mechanism (\ensuremathρ_H\ensuremath∝\ensuremathρ²) for Fe, Ni, and their alloys above 100 K, while asymmetric scattering dominates below 100 K. Displacement \ensuremathΔy per actual collision is calculated by partial waves. In the case of Born expansion, the leading term of \ensuremathΔy or \frac\ensuremathρ_H\ensuremathρ² is of zero order in the scattering potential. The magnitude is predicted correctly (\ensuremathΔy\ensuremath≈10^\ensuremath-10\ensuremath-10^\ensuremath-11 m) when using the effective spin-orbit Hamiltonian derived by Fivaz from spin-orbit interband mixing. The calculation of \ensuremathρ_H is extended to arbitrary \ensuremathω_c\ensuremathτ for compensated and un-compensated metals. Other nonclassical physical mechanisms proposed by Karplus and Luttinger and by Doniach and by Fivaz are spurious for the dc Hall effect.

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