Thermopower of a Luttinger-liquid-based two-channel charge Kondo circuit: nonperturbative solution

Recently, the influence of electron-electron interactions on the thermoelectric transport in a two-channel charge Kondo circuit has been studied in [Phys. Rev. B 105 (2022) L121405]. In this paper, we revisit the Luttinger-liquid-based model and discuss in details the limit when the spin mode is noninteracting (gσ = 1) while the interaction in the charge sector is repulsive (gρ ≤ 1).