Physics – Condensed Matter – Materials Science
Scientific paper
2006-01-09
Phys. Rev. B 73, 054428 (2006)
Physics
Condensed Matter
Materials Science
11 pages, 9 figures
Scientific paper
10.1103/PhysRevB.73.054428
We report quantum and semi-classical 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. Non-adiabatic 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 non-adiabatic contribution to the spin-transfer torque due to spin flip scattering.
Stiles Mark D.
Xiao Jiang
Zangwill Andrew
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