Reference : Thermodynamics of the polaron master equation at finite bias
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Thermodynamics of the polaron master equation at finite bias
Krause, T. [Technische Universität Berlin > Institut für Theoretische Physik]
Brandes, T. [Technische Universität Berlin > Institut für Theoretische Physik]
Esposito, Massimiliano mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit]
Schaller, G. [Technische Universität Berlin > Institut für Theoretische Physik]
Journal of Chemical Physics
Yes (verified by ORBilu)
[en] 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. (C) 2015 AIP Publishing LLC.
Cited References Count:82|CF6DG|AMER INST PHYSICS|1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA|ISI Document Delivery No.:CF6DG|Funding:T.B. and G.S. gratefully acknowledge financial support by the DFG (SFB 910, GRK 1588, SCHA 1646/3-1). M.E. has been supported by the National Research Fund, Luxembourg, in the frame of Project No. FNR/A11/02.
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