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Title: Thermodynamics of the polaron master equation at finite bias

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.
Authors:
; ;  [1] ;  [2]
  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)
Publication Date:
OSTI Identifier:
22415597
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 142; Journal Issue: 13; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 77 NANOSCIENCE AND NANOTECHNOLOGY; ASYMMETRY; ELECTRON-PHONON COUPLING; ENERGY TRANSFER; ENTROPY; FLUCTUATIONS; FRANCK-CONDON PRINCIPLE; MARKOV PROCESS; OSCILLATIONS; PHONONS; POLARONS; QUANTUM DOTS; SPECTROSCOPY; THERMODYNAMICS; TUNNEL EFFECT