Thermoelectric performance of a driven double quantum dot

Abstract

In this paper we investigate the thermoelectric performance of a double-dot device driven by time-dependently modulated gate voltages. We show that if the modulation frequency Ω is sufficiently small, not only quantized charge pumping can be realized, but also the heat current flowing in the leads is quantized and exhibits plateaux in units of kB T ln2 Ω/2π. The factor ln2 stems from the degeneracy of the double-dot states involved into transport. This opens the possibility of using the pumping cycle to transfer heat against a temperature gradient or to extract work from a hot reservoir with Carnot efficiency. However, the performance of a realistic device is limited by dissipative effects due to leakage currents and finite-frequency operation, which we take into account rigorously by means of a generalized master equation approach in the regime where the double dot is weakly coupled to the leads. We show that despite these effects, the efficiency of a double-dot charge pump performing work against a dc-source can reach of up to 70% of the ideal value.

16 pages, 9 figures

References in corpus (26)

• The Physics of Maxwell's demon and information
• Optimal energy quanta to current conversion
• Thermodynamics of a physical model implementing a Maxwell demon
• Thermoelectric transport through strongly correlated quantum dots
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Violation of the Wiedemann-Franz Law in a Single-Electron Transistor
• Test of Jarzynski and Crooks fluctuation relations in an electronic system
• Kinetic Equations for Transport Through Single-Molecule Transistors
• Powerful and efficient energy harvester with resonant-tunneling quantum dots
• Scattering theory of nonlinear thermoelectric transport
• Magnon-driven quantum-dot heat engine
• Single-electron heat diode
• A two-atom electron pump
• Finite-time erasing of information stored in fermionic bits
• Nonadiabatic electron heat pump
• Thermodynamic and quantum bounds on nonlinear DC thermoelectric transport
• Resonance approximation and charge loading/unloading in adiabatic quantum pumping
• Quantum-fluctuation effects on the thermopower of a single-electron transistor
• Work and its fluctuations in a driven quantum system
• Heat production and current noise for single- and double-cavity quantum capacitors
• Quantum heat fluctuations of single particle sources
• Charge and spin pumping through a double quantum dot
• Quantized Charge Pumping through a Carbon Nanotube Double Quantum Dot
• Nonlinear Spin-Charge Dynamics in a Driven Double Quantum Dot
• Adiabatic pumping through an interacting quantum dot with spin-orbit coupling
• Low-frequency excitation of double quantum dots

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• Level anticrossing effect in single-level or multilevel double quantum dots: Electrical conductance, zero-frequency charge susceptibility and Seebeck coefficient
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• Temperature-driven and electrochemical-potential-driven adiabatic pumping via a quantum dot
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• Charge and heat transport of soft nanosystems in the presence of time-dependent perturbations
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