Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-05-28
Phys. Rev. B 80, 184411 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
14 pages, 4 figures
Scientific paper
10.1103/PhysRevB.80.184411
We develop the hydrodynamical theory of collinear spin currents coupled to magnetization dynamics in metallic ferromagnets. The collective spin density couples to the spin current through a U(1) Berry-phase gauge field determined by the local texture and dynamics of the magnetization. We determine phenomenologically the dissipative corrections to the equation of motion for the electronic current, which consist of a dissipative spin-motive force generated by magnetization dynamics and a magnetic texture-dependent resistivity tensor. The reciprocal dissipative, adiabatic spin torque on the magnetic texture follows from the Onsager principle. We investigate the effects of thermal fluctuations and find that electronic dynamics contribute to a nonlocal Gilbert damping tensor in the Landau-Lifshitz-Gilbert equation for the magnetization. Several simple examples, including magnetic vortices, helices, and spirals, are analyzed in detail to demonstrate general principles.
Tserkovnyak Yaroslav
Wong Clement H.
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