Spin conductance, dynamic spin stiffness and spin diffusion in itinerant magnets

Details Spin conductance, dynamic spin stiffness and spin diffusion in itinerant magnets Spin conductance, dynamic spin stiffness and spin diffusion in itinerant magnets

1997-09-29

arxiv.org/abs/cond-mat/9709316v2

Phys. Rev. B 57, 7829 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

Discussion of gauge invariance and difference between transverse and longitudinal response added. Accepted for publication in

Scientific paper

10.1103/PhysRevB.57.7829

We discuss analogies between the charge- and spin response functions of itinerant magnets. We show that the spin-analog of the charge stiffness is not given by the usual spin stiffness rho_s, but by the dynamic spin stiffness D_s, which is obtained from the dynamic spin conductance G_s (omega) in the limit of vanishing frequency omega. The low-frequency behavior of G_s (omega) is used to define ideal spin conductors, normal spin conductors, and spin insulators. Assuming diffusive spin dynamics, we show that the spin diffusion coefficient is proportional to lim_{omega rightarrow 0} {Re} {G}_s (omega). We exploit this fact to develop a new extrapolation scheme for the spin diffusion coefficient in the paramagnetic phase of the Hubbard model.

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