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Current noise in quantum dot thermoelectric engines

Wozny, Simon LU and Leijnse, Martin LU (2025) In Physical Review B 111(7).
Abstract

We theoretically investigate a thermoelectric heat engine based on a single-level quantum dot, calculating average quantities such as current, heat current, output power, and efficiency, as well as fluctuations (noise). Our theory is based on a diagrammatic expansion of the memory kernel together with counting statistics, and we investigate the effects of strong interactions and next-to-leading order tunneling. Accounting for next-to-leading order tunneling is crucial for a correct description when operating at high power and high efficiency, and in particular affect the qualitative behavior of the Fano factor and efficiency. We compare our results with the so-called thermodynamic uncertainty relations, which provide a lower bound on... (More)

We theoretically investigate a thermoelectric heat engine based on a single-level quantum dot, calculating average quantities such as current, heat current, output power, and efficiency, as well as fluctuations (noise). Our theory is based on a diagrammatic expansion of the memory kernel together with counting statistics, and we investigate the effects of strong interactions and next-to-leading order tunneling. Accounting for next-to-leading order tunneling is crucial for a correct description when operating at high power and high efficiency, and in particular affect the qualitative behavior of the Fano factor and efficiency. We compare our results with the so-called thermodynamic uncertainty relations, which provide a lower bound on the fluctuations for a given efficiency. In principle, the conventional thermodynamic uncertainty relations can be violated by the non-Markovian quantum effects originating from next-to-leading order tunneling, providing a type of quantum advantage. However, for the specific heat engine realization we consider here, we find that next-to-leading order tunneling does not lead to such violations, but in fact always pushes the results further away from the bound set by the thermodynamic uncertainty relations.

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author
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organization
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type
Contribution to journal
publication status
published
subject
in
Physical Review B
volume
111
issue
7
article number
075422
publisher
American Physical Society
external identifiers
  • scopus:85218348566
ISSN
2469-9950
DOI
10.1103/PhysRevB.111.075422
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2025 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by "https://www.kb.se/samverkan-och-utveckling/oppen-tillgang-och-bibsamkonsortiet/bibsamkonsortiet.html"Bibsam.
id
4374ec48-cfd7-49de-97ae-19c9958114be
date added to LUP
2025-04-30 15:15:38
date last changed
2025-05-05 08:55:49
@article{4374ec48-cfd7-49de-97ae-19c9958114be,
  abstract     = {{<p>We theoretically investigate a thermoelectric heat engine based on a single-level quantum dot, calculating average quantities such as current, heat current, output power, and efficiency, as well as fluctuations (noise). Our theory is based on a diagrammatic expansion of the memory kernel together with counting statistics, and we investigate the effects of strong interactions and next-to-leading order tunneling. Accounting for next-to-leading order tunneling is crucial for a correct description when operating at high power and high efficiency, and in particular affect the qualitative behavior of the Fano factor and efficiency. We compare our results with the so-called thermodynamic uncertainty relations, which provide a lower bound on the fluctuations for a given efficiency. In principle, the conventional thermodynamic uncertainty relations can be violated by the non-Markovian quantum effects originating from next-to-leading order tunneling, providing a type of quantum advantage. However, for the specific heat engine realization we consider here, we find that next-to-leading order tunneling does not lead to such violations, but in fact always pushes the results further away from the bound set by the thermodynamic uncertainty relations.</p>}},
  author       = {{Wozny, Simon and Leijnse, Martin}},
  issn         = {{2469-9950}},
  language     = {{eng}},
  month        = {{02}},
  number       = {{7}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review B}},
  title        = {{Current noise in quantum dot thermoelectric engines}},
  url          = {{http://dx.doi.org/10.1103/PhysRevB.111.075422}},
  doi          = {{10.1103/PhysRevB.111.075422}},
  volume       = {{111}},
  year         = {{2025}},
}