Abstract
Symmetry of the longitudinal mangetoresistance (MR) of ferromagnetic thin films with perpendicular magnetic anisotropy (PMA) in the presence of multiple domain walls (DWs) has been studied. Based on exact solutions, schematic representations of electric fields and MR have been established considering anomalous Hall effect and the effect from the eddy currents in the proximity of domain walls in the ferromagnetic samples with PMA. Symmetry analysis shows that MR with single DW in opposite sweeps is antisymmetric with respect to H = 0, MR with two or 2n (n is integer, n >0) evenly distributed DWs is symmetric, and MR with the three or 2n+1 (n is integer, n >0) evenly distributed DWs is antisymmetric.
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