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Krause T, Brandes T, Esposito M, et al. Thermodynamics of the polaron master equation at finite bias. J Chem Phys. 2015;142(13):134106doi: 10.1063/1.4916359.
Krause, T., Brandes, T., Esposito, M., & Schaller, G. (2015). Thermodynamics of the polaron master equation at finite bias. The Journal of chemical physics, 142(13), 134106. https://doi.org/10.1063/1.4916359
Krause, Thilo, et al. "Thermodynamics of the polaron master equation at finite bias." The Journal of chemical physics vol. 142,13 (2015): 134106. doi: https://doi.org/10.1063/1.4916359
Krause T, Brandes T, Esposito M, Schaller G. Thermodynamics of the polaron master equation at finite bias. J Chem Phys. 2015 Apr 07;142(13):134106. doi: 10.1063/1.4916359. PMID: 25854227.
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J Chem Phys. 2015 Apr 07;142(13):134106. doi: 10.1063/1.4916359.

Thermodynamics of the polaron master equation at finite bias.

The Journal of chemical physics

Thilo Krause, Tobias Brandes, Massimiliano Esposito, Gernot Schaller

Affiliations

  1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany.
  2. Complex Systems and Statistical Mechanics, University of Luxembourg, L-1511 Luxembourg, Luxembourg.

PMID: 25854227 DOI: 10.1063/1.4916359

Abstract

We study coherent transport through a double quantum dot. Its two electronic leads induce electronic matter and energy transport and a phonon reservoir contributes further energy exchanges. By treating the system-lead couplings perturbatively, whereas the coupling to vibrations is treated non-perturbatively in a polaron-transformed frame, we derive a thermodynamic consistent low-dimensional master equation. When the number of phonon modes is finite, a Markovian description is only possible when these couple symmetrically to both quantum dots. For a continuum of phonon modes however, also asymmetric couplings can be described with a Markovian master equation. We compute the electronic current and dephasing rate. The electronic current enables transport spectroscopy of the phonon frequency and displays signatures of Franck-Condon blockade. For infinite external bias but finite tunneling bandwidths, we find oscillations in the current as a function of the internal bias due to the electron-phonon coupling. Furthermore, we derive the full fluctuation theorem and show its identity to the entropy production in the system.

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