Strong coupling in thermoelectric nanojunctions: a reaction coordinate framework

We study a model of a thermoelectric nanojunction driven by vibrationally-assisted tunnelling. We apply the reaction coordinate formalism to derive a master equation governing its thermoelectric performance beyond the weak electron-vibrational coupling limit. Employing full counting statistics we ca...

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Main Authors: Conor McConnell, Ahsan Nazir
Format: Article
Language:English
Published: IOP Publishing 2022-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac4ce3
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author Conor McConnell
Ahsan Nazir
author_facet Conor McConnell
Ahsan Nazir
author_sort Conor McConnell
collection DOAJ
description We study a model of a thermoelectric nanojunction driven by vibrationally-assisted tunnelling. We apply the reaction coordinate formalism to derive a master equation governing its thermoelectric performance beyond the weak electron-vibrational coupling limit. Employing full counting statistics we calculate the current flow, thermopower, associated noise, and efficiency without resorting to the weak vibrational coupling approximation. We demonstrate intricacies of the power-efficiency-precision trade-off at strong coupling, showing that the three cannot be maximised simultaneously in our model. Finally, we emphasise the importance of capturing non-additivity when considering strong coupling and multiple environments, demonstrating that an additive treatment of the environments can violate the upper bound on thermoelectric efficiency imposed by Carnot.
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spelling doaj.art-48fb1f6d7a304c3ca10039fa804c81b92023-08-09T14:17:21ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124202500210.1088/1367-2630/ac4ce3Strong coupling in thermoelectric nanojunctions: a reaction coordinate frameworkConor McConnell0Ahsan Nazir1https://orcid.org/0000-0003-4099-1868Department of Physics and Astronomy, University of Manchester , Oxford Road, Manchester M13 9PL, United KingdomDepartment of Physics and Astronomy, University of Manchester , Oxford Road, Manchester M13 9PL, United KingdomWe study a model of a thermoelectric nanojunction driven by vibrationally-assisted tunnelling. We apply the reaction coordinate formalism to derive a master equation governing its thermoelectric performance beyond the weak electron-vibrational coupling limit. Employing full counting statistics we calculate the current flow, thermopower, associated noise, and efficiency without resorting to the weak vibrational coupling approximation. We demonstrate intricacies of the power-efficiency-precision trade-off at strong coupling, showing that the three cannot be maximised simultaneously in our model. Finally, we emphasise the importance of capturing non-additivity when considering strong coupling and multiple environments, demonstrating that an additive treatment of the environments can violate the upper bound on thermoelectric efficiency imposed by Carnot.https://doi.org/10.1088/1367-2630/ac4ce3thermoelectricstrong couplingopen quantum systemsquantum thermodynamics
spellingShingle Conor McConnell
Ahsan Nazir
Strong coupling in thermoelectric nanojunctions: a reaction coordinate framework
New Journal of Physics
thermoelectric
strong coupling
open quantum systems
quantum thermodynamics
title Strong coupling in thermoelectric nanojunctions: a reaction coordinate framework
title_full Strong coupling in thermoelectric nanojunctions: a reaction coordinate framework
title_fullStr Strong coupling in thermoelectric nanojunctions: a reaction coordinate framework
title_full_unstemmed Strong coupling in thermoelectric nanojunctions: a reaction coordinate framework
title_short Strong coupling in thermoelectric nanojunctions: a reaction coordinate framework
title_sort strong coupling in thermoelectric nanojunctions a reaction coordinate framework
topic thermoelectric
strong coupling
open quantum systems
quantum thermodynamics
url https://doi.org/10.1088/1367-2630/ac4ce3
work_keys_str_mv AT conormcconnell strongcouplinginthermoelectricnanojunctionsareactioncoordinateframework
AT ahsannazir strongcouplinginthermoelectricnanojunctionsareactioncoordinateframework