Kubo conductivity of wires with strong multiparticle backscatterings: A variety of fractions

Abstract

We study a multichannel quasi-one-dimensional system in the framework of the Tomonaga–Luttinger liquid model. Relevant backscattering perturbations create gaps in the corresponding fields, thereby changing the properties of the system. We model these gapped fields by introducing masses of bosonic fields and sending them to infinity to find the correlator of two fields describing the original channels. The exact solution for the corresponding Green function in the low-frequency limit allows us to use the Kubo formula to calculate the dc conductance of the system, which explains all seminal experimental results.