Transverse spin diffusion in ferromagnets

Details Transverse spin diffusion in ferromagnets Transverse spin diffusion in ferromagnets

2008-10-08

arxiv.org/abs/0810.1340v2

Phys. Rev. B 79 (2009) 094415

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 2 figures

Scientific paper

10.1103/PhysRevB.79.094415

We discuss the dissipative diffusion-type term of the form $\mathbf{m}\times\nabla^2\partial_t\mathbf{m}$ in the phenomenological Landau-Lifshitz equation of ferromagnetic precession, which describes enhanced Gilbert damping of finite-momentum spin waves. This term arises physically from itinerant-electron spin flows through a perturbed ferromagnetic configuration and can be understood to originate in the ferromagnetic spin pumping in the continuum limit. We develop a general phenomenology as well as provide microscopic theory for the Stoner and s-d models of ferromagnetism, taking into account disorder and electron-electron scattering. The latter is manifested in our problem through the Coulomb drag between the spin bands. The spin diffusion is identified in terms of the transverse spin conductivity, in analogy with the Einstein relation in the kinetic theory.

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