Heat and charge transport in interacting nanoconductors driven by time-modulated temperatures

Abstract

We investigate the quantum transport of the heat and the charge through a quantum dot coupled to fermionic contacts under the influence of time modulation of temperatures. We derive, within the nonequilibrium Keldysh Green's function formalism, generic formulas for the charge and heat currents by extending the concept of gravitational field introduced by Luttinger to the dynamically driven system and by identifying the correct form of dynamical contact energy. In linear response regime our formalism is validated from satisfying the Onsager reciprocity relations and demonstrates its utility to reveal nontrivial dynamical effects of the Coulomb interaction on charge and energy relaxations.

36 pages, 6 figures

References in corpus (15)

• The numerical renormalization group method for quantum impurity systems
• Heat Transport in low-dimensional systems
• Thermal Logic Gates: Computation with phonons
• An On-Demand Coherent Single Electron Source
• Single-parameter non-adiabatic quantized charge pumping
• Adiabatic processes realized with a trapped Brownian particle
• Non-adiabadic charge pumping in a hybrid SET transistor
• Modulation and amplification of radiative far field heat transfer: Towards a simple radiative thermal transistor
• An accurate single-electron pump based on a highly tunable silicon quantum dot
• Thermal vector potential theory of transport induced by temperature gradient
• Periodic energy transport and entropy production in quantum electronics
• Luttinger-field approach to thermoelectric transport in nanoscale conductors
• Thermotronics: toward nanocircuits to manage radiative heat flux
• Dynamical Coulomb blockade under a temperature bias
• Effective temperature pulses in open quantum systems

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