Theory of spin magnetohydrodynamics

Details Theory of spin magnetohydrodynamics Theory of spin magnetohydrodynamics

2008-06-28

arxiv.org/abs/0806.4656v2

Phys. Rev. B 79 (2009) 014402

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 1 figure

Scientific paper

10.1103/PhysRevB.79.014402

We develop a phenomenological hydrodynamic theory of coherent magnetic precession coupled to electric currents. Exchange interaction between electron spin and collective magnetic texture produces two reciprocal effects: spin-transfer torque on the magnetic order parameter and the Berry-phase gauge field experienced by the itinerant electrons. The dissipative processes are governed by three coefficients: the ohmic resistance, Gilbert damping of the magnetization, and the "beta coefficient" describing viscous coupling between magnetic dynamics and electric current, which stems from spin mistracking of the magnetic order. We develop general magnetohydrodynamic equations and discuss the net dissipation produced by the coupled dynamics. The latter in particular allows us to determine a lower bound on the magnetic-texture resistivity.

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