Finite size analysis of Luttinger liquids with a source of 2k(f) scattering

Numerical analysis of the spectrum of large finite size Luttinger liquids (g < 1) in the presence of a single source of 2k(f) scattering has been made possible due to an effective integration of high degrees of freedom. The presence of irrelevant operators and their manifestation in transport are issues treated independently. We confirm the existence of two irrelevant operators: particle hopping and charge oscillations, with regions of dominance separated by g = 1/2. Temperature dependence of conductance is shown to be controlled by hopping alone, giving G similar to T-2/g-2. Frequency dependence is affected by both operators, giving G similar to omega(2/g-2) for g > 1/2, and G similar to omega(2) for g < 1/2.