Quantum size effects for the extraordinary Hall effect in thin magnetic films
Résumé
A theory for the extraordinary Hall effect in thin films is derived using the Kubo formalism. We calculate the skew-scattering contribution to the Hall resistivity. Oscillations of the resistivity with the thickness of the magnetic layers are obtained similar to the diagonal resistivity, but as the Hall current is due to d-electrons, the period of these oscillations is connected with the Fermi wave vector of the d-electrons.