Time dependent heat flow in interacting quantum conductors

TL;DR

This paper derives a frequency-resolved heat current formula for interacting quantum conductors under AC signals, enabling analysis of photon-assisted heat transport and revealing sign reversals in electrothermal admittance.

Contribution

It introduces a general heat current expression valid for arbitrary AC frequencies in interacting quantum systems, including photon-assisted processes.

Findings

Electrothermal admittance can reverse sign with frequency tuning.

The formula applies to complex systems like carbon nanotube quantum dots.

It advances understanding of heat flow in time-dependent quantum conductors.

Abstract

We derive the frequency-resolved heat current expression in the linear response regime for a setup comprised of reservoir, interacting central site, and tunneling barrier under the action of a time dependent electrical signal. We exploit the frequency parity properties of response functions to obtain the heat current expression for interacting quantum conductors. Importantly, the corresponding heat formula, valid for arbitrary AC frequencies, can describe photon-assisted heat transport. In particular, we analyze the heat transfer for an interacting multilevel conductor (a carbon nanotube quantum dot) coupled to a single reservoir. We show that the electrothermal admittance can reverse its sign by properly tunning the AC frequency.