Spin-transfer torque for continuously variable magnetization
By Jiang Xiao, A. Zangwill, Mark D. Stiles. 2006
132 citations recorded by the source corpus.
We report quantum and semiclassical calculations of spin current and spin-transfer torque in a free-electron Stoner model for systems where the magnetization varies continuously in one dimension. Analytic results are obtained for an infinite spin spiral and numerical results are obtained for realistic domain wall profiles. The adiabatic limit describes conduction electron spins that follow the sum of the exchange field and an effective, velocity-dependent field produced by the gradient of the magnetization in the wall. Nonadiabatic effects arise for short domain walls but their magnitude decreases exponentially as the wall width increases. Our results cast doubt on the existence of a recently proposed nonadiabatic contribution to the spin-transfer torque due to spin-flip scattering.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/f4b44ea08378c443cf34fb7435227f4e1edb5f17
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Microscopic approach to current-driven domain wall dynamics (2008, background): “The non-adiabatic torque is studied in [62,26,49,50].”
- Current-induced domain wall motion in nanoscale ferromagnetic elements (2011, background): “However, this mechanism is expected to be relevant for DWs with widths of the order of the Fermi wavelength (∼1 nm) or the Larmor precession length (a few nm) [14, 23] which is not completely the case for standard out-of-plane magnetized multilayers with larger DW widths (∼5–10 nm).”