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Magnetization switching in a fine-structured ferromagnet of nanoscale by thespin-transfer torque excited via the spin Hall effect has attracted muchattention because it enables us to manipulate the magnetization withoutdirectly applying current to the ferromagnet. However, the switching mechanismis still unclear in regard to the ferromagnet having an in-plane easy axisparallel to the current. Here, we develop an analytical theory of themagnetization switching in this type of ferromagnet, and reveal the thresholdcurrent formulas for a deterministic switching. It is clarified that thecurrent should be in between a certain range determined by two thresholdcurrents because the spin-transfer torque due to a large current outside therange brings the magnetization in an energetically unstable state, and causesmagnetization precession around the hard axis.

Switching induced by spin Hall effect in an in-plane magnetized ferromagnet with the easy axis parallel to the current