Thermoelectric Transport in a Three-Channel Charge Kondo Circuit

TL;DR

This paper theoretically analyzes thermoelectric transport in a three-channel charge Kondo circuit, revealing universal temperature scaling laws and exploring emergent parafermions and zero modes in quantum transport.

Contribution

It introduces a perturbative approach to compute the Seebeck coefficient's universal scaling in a three-channel charge Kondo model, highlighting non-Fermi liquid behavior and potential experimental signatures.

Findings

Predicted T^{1/3} log T scaling of thermoelectric power.

Linked thermoelectric behavior to $Z_3$ parafermions and zero modes.

Proposed generalization for multi-channel Kondo crossovers.

Abstract

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.