TRANSPORT-PROPERTIES IN THE TOMONAGA-LUTTINGER LIQUID

We investigate the conductivity using Green's functions in the Tomonag a-Luttinger liquid. It is shown that the resistivity has a linear temp erature dependence if we take account of the physical process that the accelerated electron decays into spinon and holon. The effect of impu rity scattering becomes visible only below a crossover temperature whi ch strongly depends on the impurity strength, every cutoff, and spin a nd charge velocities. The optical conductivity is also studied and it is shown that the relaxation rate has a linear frequency dependence.