Electrical conductivity of Fermi liquids.: III.: T2 contribution to the resistivity

To investigate the low temperature resistivity R = AT(2) due to quasiparticle-quasiparticle scattering of Fermi liquids, we numerically solve the linearized transport equation. It is shown that the conventional approximation to neglect the momentum dependence of the transport relaxation time tau(p) is quantitatively satisfying, except in the vicinity of the threshold at which the resistivity vanishes. After discussing the many-band model in general terms, we study a solvable case of a two-hand model in order to verify that each band carries a comparable amount of current, regardless of the difference in the effective mass of the quasiparticle in each band.