Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
Abstract
We develop a unified theory of weakly probed differential observables for currents and noise in transport experiments. Our findings uncover a set of universal transport relations between thermoelectric and noise properties of a system probed through a tunnel contact, with the Wiedemann-Franz law being just one example of such universality between charge and heat currents. We apply this theory to various quantum systems, including multichannel Kondo, quantum Hall and Sachdev-Ye-Kitaev quantum dots, resonant impurity, and two-stage Kondo models and demonstrate that each of the microscopic theories is characterized by a set of universal relations connecting conductance and thermoelectrics with noise. Violations of these relations indicate additional energy scales emerging in a system.
Cite
@article{arxiv.2508.05413,
title = {Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction},
author = {Andrei I. Pavlov and Mikhail N. Kiselev},
journal= {arXiv preprint arXiv:2508.05413},
year = {2026}
}