Heat and charge transport in interacting nanoconductors driven by time-modulated temperatures

TL;DR

This paper develops a theoretical framework to analyze heat and charge transport in quantum dots driven by time-dependent temperature modulations, revealing how Coulomb interactions influence dynamical relaxation processes.

Contribution

The authors extend the nonequilibrium Keldysh Green's function formalism to include time-modulated temperatures and Coulomb interactions in quantum dot transport.

Findings

Validated the formalism with Onsager reciprocity in linear response

Revealed nontrivial dynamical effects of Coulomb interactions

Provided generic formulas for heat and charge currents in driven systems

Abstract

We investigate the quantum transport of the heat and the charge through a quantum dot coupled to fermionic contacts under the influence of time modulation of temperatures. We derive, within the nonequilibrium Keldysh Green's function formalism, generic formulas for the charge and heat currents by extending the concept of gravitational field introduced by Luttinger to the dynamically driven system and by identifying the correct form of dynamical contact energy. In linear response regime our formalism is validated from satisfying the Onsager reciprocity relations and demonstrates its utility to reveal nontrivial dynamical effects of the Coulomb interaction on charge and energy relaxations.