Analytic treatment of the thermoelectric properties for two coupled quantum dots threaded by magnetic fields

Abstract

Coupled double quantum dots (c-2QD) connected to leads have been widely adopted as prototype model systems to verify interference effects on quantum transport at the nanoscale. We provide here an analytic study of the thermoelectric properties of c-2QD systems pierced by a uniform magnetic field. Fully analytic and easy-to-use expressions are derived for all the kinetic functionals of interest. Within the Green 0 s function formalism, our results allow a simple inexpensive procedure for the theoretical description of the thermoelectric phenomena for different chemical potentials and temperatures of the reservoirs, different threading magnetic fluxes, dot energies and interdot interactions; moreover they provide an intuitive guide to parametrize the system Hamiltonian for the design of best performing realistic devices. We have found that the thermopower S can be enhanced by more than ten times and the figure of merit ZT by more than hundred times by the presence of a threading magnetic field. Most important, we show that the magnetic flux increases also the performance of the device under maximum power output conditions.

References in corpus (8)

• Thermoelectric energy harvesting with quantum dots
• Optimal thermoelectric figure of merit of a molecular junction
• Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
• Experiments on thermoelectric properties of quantum dots
• Thermoelectric efficiency of nanoscale devices in the linear regime
• Spin-dependent thermoelectric effects in a strongly correlated double quantum dot
• Effect of inhomogeneous magnetic flux on double-dot Aharonov-Bohm Interferometer
• Heat asymmetries in nanoscale conductors: The role of decoherence and inelasticity

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• A review on Aharonov-Bohm quantum machines: Thermoelectric heat engines and diodes
• Regimes and quantum bounds of nanoscale thermoelectrics with peaked transmission function