Bias dependence of magnetic exchange interactions: application to interlayer exchange coupling in spin valves

Details Bias dependence of magnetic exchange interactions: application to interlayer exchange coupling in spin valves Bias dependence of magnetic exchange interactions: application to interlayer exchange coupling in spin valves

2008-09-25

arxiv.org/abs/0809.4451v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 8 figures

Scientific paper

10.1103/PhysRevB.79.054405

We study how a bias voltage changes magnetic exchange interactions. We derive a general expression for magnetic exchange interactions for systems coupled to reservoirs under a bias potential, and apply it to spin valves. We find that for metallic systems, the interlayer exchange coupling shows a weak, oscillatory dependence on the bias potential. For tunneling systems, we find a quadratic dependence on the bias potential, and derive an approximate expression for this bias dependence for a toy model. We give general conditions for when the interlayer exchange coupling is a quadratic function of bias potential.

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