Thermoelectric Transport in a Three-Channel Charge Kondo Circuit

We investigate theoretically the thermoelectric transport through a circuit implementation of the three-channel "charge" Kondo model quantum simulator [Z. Iftikhar et al., Science 360, 1315 (2018)]. The universal temperature scaling law of the Seebeck coefficient is computed perturbatively approaching the non-Fermi liquid strong coupling fixed point using abelian bosonization technique. The predicted $T^{1/3}\log T$ scaling behavior of the thermoelectric power sheds a light on the properties of $Z_3$ emerging parafermions and gives an access to exploring pre-fractionalized zero modes in the quantum transport experiments. We discuss a generalization of approach for investigating a multi-channel Kondo problem with emergent $Z_N\to Z_M$ crossovers between "weak" non-Fermi liquid regimes corresponding to different low-temperature fixed points.