Dynamic thermoelectric and heat transport in mesoscopic capacitors

Abstract

We discuss the low-frequency response of charge and heat transport to oscillatory voltage and temperature shifts in mesoscopic capacitors. We obtain within scattering theory generic expressions for the quantum admittances up to second order in the ac frequencies in terms of electric, thermoelectric and heat capacitances and relaxation resistances. Remarkably, we find that the thermocurrent can lead or lag the applied temperature depending on the gate voltage applied to a quantum $RC$ circuit. Furthermore, the relaxation resistance for cross terms becomes nonuniversal as opposed to the purely electric or thermal cases.

5 pages, 3 figures; minor changes, published version

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• Single-electron coherence: finite temperature versus pure dephasing
• Heat and charge transport measurements to access single-electron quantum characteristics
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• Interaction effect on reservoir-parameter-driven adiabatic charge pumping via a single-level quantum dot system
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• Time resolved heat exchange in driven quantum systems
• Current deformation and quantum inductance in mesoscopic capacitors
• Heat and charge transport in interacting nanoconductors driven by time-modulated temperatures
• Heat Pulses in Electron Quantum Optics
• Quantum point contacts as heat engines
• Out-of-equilibrium fluctuation-dissipation relations verified by the electrical and thermoelectrical ac-conductances in a quantum dot
• Quantum transport phenomena induced by time-dependent fields
• Heat Transport Hysteresis Generated through Frequency Switching of a Time-Dependent Temperature Gradient
• Neuromorphic heat transport effects in a molecular junction
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