Nano-Micro Letters

Ballistic current induced effective force on magnetic domain wall

C. Wang, K. Xia* Abstract
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Nano-Micro Letters, , Volume 1, Issue 1, pp 34-39
Publication Date (Web): December 20, 2009 (Article)




Figure 1 Sphere polar coordinates describing the direction of localized magnetization. M represent on-site local magnetization, the blue circle illustrate the plane in which magnetizations alter their directions. In the simplest model (ϕ = 0), the plane reduces to x-z plane.

The collective dynamics of magnetic domain wall under electric current is studied in the form of spin transfer torque (STT). The out-of-plane STT induced effective force is obtained based on the Landau-Lifshitz-Gilbert (LLG) equation including microscopic STT terms. The relation between microscopic calculations and collective description of the domain wall motion is established. With our numerical calculations based on tight binding free electron model, we find that the non adiabatic out-of-plane torque components have considerable non-local properties. It turns out that the calculated effective forces decay significantly with increasing domain wall widths.



Magnetic domain; Spin Transfer torque; Spintronics; First principle study


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