Redouane Zamoum, Adeline Crépieux
We investigate a one-channel coherent conductor with optimal transmission embedded in an Ohmic environment characterized by the quantum of resistance Rq = h/e² below the RC frequency. This setup aligns with the behavior of a Tomonaga-Luttinger liquid configured with a singular impurity, where the interaction parameter is set to K = 1/2. We leverage this framework to perform a refermionization, facilitating analysis through energy-dependent transmission amplitudes that encapsulate strong correlation dynamics. Our study entails computing, for the first time, the finite-frequency differential conductance and non-symmetrized noise. Analysis reveals that, counterintuitively, the finite-frequency parameters cannot be represented exclusively through the scattering approach for the new fermions, although they remain contingent on the transmission amplitude. Remarkably, the finite-frequency conductance is demonstrated to adhere to a precise relationship in terms of the dc current, akin to perturbative findings associated with weak tunneling within the Tien-Gordon theory, and extendable to systems exhibiting strong interactions and fractional charge in the environment. We further establish that the emission excess noise vanishes entirely above eV. Our comprehensive results are applicable across all temperature, voltage, and frequency ranges below the RC frequency, fully elucidating the quantum regime.
@article{4c7b342b-eb93-4976-90a1-c47da68c916a,
title={A one channel conductor coupled to a qua},
author={Redouane Zamoum and Adeline Crépieux},
year={2026},
language={en}
}TY - JOUR TI - A one channel conductor coupled to a qua AU - Redouane Zamoum AU - Adeline Crépieux PY - 2026 LA - en ER -
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