Simulating time-dependent thermoelectric transport in quantum systems

Autor: Slimane, Adel Kara, Reck, Phillipp, Fleury, Geneviève
Rok vydání: 2019
Předmět:
Zdroj: Phys. Rev. B 101, 235413 (2020)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.101.235413
Popis: We put forward a gauge-invariant theoretical framework for studying time-resolved thermoelectric transport in an arbitrary multiterminal electronic quantum system described by a non-interacting tight-binding model. The system is driven out of equilibrium by an external time-dependent electromagnetic field (switched on at time $t_0$) and possibly by static temperature or electrochemical potential biases applied (from the remote past) between the electronic reservoirs. Numerical simulations are conducted by extending to energy transport the wave-function approach developed by Gaury et al. and implemented in the t-Kwant library. We provide a module that allows us to compute the time-resolved heat currents and powers in addition to the (already implemented) charge currents, and thus to simulate dynamical thermoelectric transport through realistic devices, when electron-electron and electron-phonon interactions can be neglected. We apply our method to the non-interacting Resonant Level Model and verify that we recover the results reported in the literature for the time-resolved heat currents in the expected limits. Finally, we showcase the versatility of the library by simulating dynamical thermal transport in a Quantum Point Contact subjected to voltage pulses.
Comment: 19 pages, 5 appendices, 4 figures, final version as published
Databáze: arXiv