Interactions and thermoelectric effects in a parallel-coupled double quantum dot

Abstract

We investigate the nonequilibrium transport properties of a double quantum dot system connected in parallel to two leads, including intradot electron-electron interaction. In the absence of interactions the system supports a bound state in the continuum. This state is revealed as a Fano antiresonance in the transmission when the energy levels of the dots are detuned. Using the Keldysh nonequilibrium Green's function formalism, we find that the occurrence of the Fano antiresonance survives in the presence of Coulomb repulsion. We give precise predictions for the experimental detection of bound states in the continuum. First, we calculate the differential conductance as a function of the applied voltage and the dot level detuning and find that crossing points in the diamond structure are revealed as minima due to the transmission antiresonances. Second, we determine the thermoelectric current in response to an applied temperature bias. In the linear regime, quantum interference gives rise to sharp peaks in the thermoelectric conductance. Remarkably, we find interaction induced strong current nonlinearities for large thermal gradients that may lead to several nontrivial zeros in the thermocurrent. The latter property is especially attractive for thermoelectric applications.

arXiv comment9 pages, 8 figures

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• Enhanced performance of a quantum-dot-based nanomotor due to Coulomb interactions
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• Thermoelectric energy conversion in molecular junctions out of equilibrium
• Thermoelectric efficiency of single-molecule junctions with long molecular linkers
• Fano effect in a thermally induced transport through a triple quantum dot within the Coulomb blockade regime