# Thermal Conductance of a Single-Electron Transistor

## TL;DR

This study investigates heat and charge transport in a single-electron transistor, revealing violations of the Wiedemann-Franz law and nonlinear heat current behavior, advancing understanding of nanoscale thermal management.

## Contribution

It provides the first combined measurement of heat and charge transport in a single-electron transistor, demonstrating deviations from classical laws and theoretical predictions.

## Key findings

- Wiedemann-Franz law is systematically violated away from charge degeneracy points.
- Heat current deviates from quadratic temperature dependence at large temperature drops.
- Deviations align with theoretical expectations.

## Abstract

We report on combined measurements of heat and charge transport through a single-electron transistor. The device acts as a heat switch actuated by the voltage applied on the gate. The Wiedemann-Franz law for the ratio of heat and charge conductances is found to be systematically violated away from the charge degeneracy points. The observed deviation agrees well with the theoretical expectation. With large temperature drop between the source and drain, the heat current away from degeneracy deviates from the standard quadratic dependence in the two temperatures.