Spin Rectification in Series and Parallel Networks of Ferromagnets

The spin rectification effect is a powerful method to study magnetization dynamics in magnetic systems. Here, we study experimentally the spin rectification produced by ferromagnetic resonance (FMR) in Ni₃₆Fe₆₄ wires. We found that the effect of spin rectification can be modeled as an increase in resistance of the wire subject to ferromagnetic resonance. This resistance increase driven by magnetodynamics has a similar dependence on the wire length to the standard linear dependence of resistance on the length of a conductor. We also investigated the spin rectification in series and parallel networks of Ni₃₆Fe₆₄ wires and found that it closely follows the usual dependence of total resistance in series and parallel electric circuits: the total spin-rectification photovoltage in ferromagnetic wires connected in series is equal to the algebraic sum of contributions from individual wires, while in the parallel connection one needs to add the reciprocals of the individual contributions. Our results support a simple way to control the magnitude of spin-rectification photovoltage in spintronic devices.