Analytic approach to thermoelectric transport in double quantum dots

TL;DR

This paper extends an analytical solution for double quantum dot transport to out-of-equilibrium conditions, deriving explicit formulas for occupations, currents, and thermoelectric properties, validated against numerical methods.

Contribution

It introduces an analytical approach to out-of-equilibrium thermoelectric transport in double quantum dots, providing explicit formulas and validation against numerical techniques.

Findings

Analytical expressions for charge and heat currents derived.

Regions of stable occupation and finite currents identified.

Excellent agreement with hierarchical equations of motion method.

Abstract

A recently proposed analytical solution for the equations of motion of the one-body Green function of the double quantum dot is extended to the out-of-equilibrium situation. By solving a linear system for the density correlators, not only the local occupations but also charge and heat currents as well as transport coefficients and the figure of merit are analytically derived in terms of system parameters and external driving forces. The emerging regions of stable occupation and finite currents are explained in terms of addition and removal energies, corresponding to the poles of the Green function. The analytical results are validated against the hierarchical equations of motion method, showing excellent agreement.