Abstract
The Hall and longitudinal resistivity of a two-dimensional electron gas (2DEG) situated a small distance from a random distribution of identical perpendicular magnetized ferromagnetic clusters is studied. The magnetic clusters are modelled by thin magnetic disks. The electrons in the 2DEG are scattered by the magnetic field profiles as created by the magnetic clusters. Although the average magnetic field is zero, we find a nonzero Hall resistivity, which increases with k F , for small Fermi energies, but which tends to zero for higher energies. We find resonances in both the Hall and the longitudinal resistivity as function of the Fermi wave vector, which can be assigned to quasi-bound states under the disks.
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