We calculate the dynamic susceptibility χ(q,ω) of the Hubbard model using the boson representation of Kotliar and Ruckenstein. The energy and momentum dependence of χ(q,ω) are the same as in the random-phase approximation, but the Gutzwiller mass enhancement ($m^{\mathrm{*}}$/m) and spin Landau parameter are included. Combining this with the Kaiser-Doniach expression for the resistivity ${\rho }^{s\mathrm{-}d}$ of a transition metal we obtain a $T^2$ term in ${\rho }^{s\mathrm{-}d}$ which scales with ($m^{\mathrm{*}}$/m${)}^2$ in accordance with experiment and has the correct magnitude.

• Received 29 August 1988

DOI:https://doi.org/10.1103/PhysRevB.39.4630