RESONANCE IN A TOMONAGA-LUTTINGER LIQUID

We study a homogeneous Tomonaga-Luttinger liquid with backscattering p otential. A perturbative computation of the conductance at the near re sonance is given. We find that the backscattering of one electron domi nates that of two electrons for an interaction parameter K greater tha n or equal to 1/3 and that the resonance point depends on temperature. Our results may be relevant for recent experiments on shot noise in t he fractional quantum Hall effect, where the charge 1/3 and not 2/3 is measured on resonance.