Thermoelectric cooling of a finite reservoir coupled to a quantum dot
(2024) In Physical Review B 110(20).- Abstract
We investigate nonequilibrium transport of charge and heat through an interacting quantum dot coupled to a finite electron reservoir. Both the quantum dot and the finite reservoir are coupled to conventional electric contacts, i.e., infinite electron reservoirs, between which a bias voltage can be applied. We develop a phenomenological description of the system, combining a rate equation for transport through the quantum dot with standard expressions for bulk transport between the finite and infinite reservoirs. The finite reservoir is assumed to be in a quasiequilibrium state with a time-dependent chemical potential and temperature which we solve for self-consistently. We show that the finite reservoir can have a large impact on the... (More)
We investigate nonequilibrium transport of charge and heat through an interacting quantum dot coupled to a finite electron reservoir. Both the quantum dot and the finite reservoir are coupled to conventional electric contacts, i.e., infinite electron reservoirs, between which a bias voltage can be applied. We develop a phenomenological description of the system, combining a rate equation for transport through the quantum dot with standard expressions for bulk transport between the finite and infinite reservoirs. The finite reservoir is assumed to be in a quasiequilibrium state with a time-dependent chemical potential and temperature which we solve for self-consistently. We show that the finite reservoir can have a large impact on the stationary state transport properties, including a shift and broadening of the Coulomb diamond edges. We also demonstrate that there is a region around the conductance lines where a heat current flows out of the finite reservoir. Our results reveal the dependence of the temperature that can be reached by this thermoelectric cooling on the system parameters, in particular the coupling between the finite and infinite reservoirs and additional heat currents induced by electron-phonon couplings, and can thus serve as a guide for experiments on quantum-dot-enabled thermoelectric cooling of finite electron reservoirs. Finally, we study the full dynamics of the system, with a particular focus on the timescales involved in the thermoelectric cooling.
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- author
- Matern, Stephanie LU ; Moreira, Saulo V. LU ; Samuelsson, Peter LU and Leijnse, Martin LU
- organization
- publishing date
- 2024-11
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review B
- volume
- 110
- issue
- 20
- article number
- 205423
- publisher
- American Physical Society
- external identifiers
-
- scopus:85210956839
- ISSN
- 2469-9950
- DOI
- 10.1103/PhysRevB.110.205423
- language
- English
- LU publication?
- yes
- id
- c2af32f0-57a4-41d1-ab0e-794162c63825
- date added to LUP
- 2025-01-21 14:47:48
- date last changed
- 2025-04-04 15:23:21
@article{c2af32f0-57a4-41d1-ab0e-794162c63825,
abstract = {{<p>We investigate nonequilibrium transport of charge and heat through an interacting quantum dot coupled to a finite electron reservoir. Both the quantum dot and the finite reservoir are coupled to conventional electric contacts, i.e., infinite electron reservoirs, between which a bias voltage can be applied. We develop a phenomenological description of the system, combining a rate equation for transport through the quantum dot with standard expressions for bulk transport between the finite and infinite reservoirs. The finite reservoir is assumed to be in a quasiequilibrium state with a time-dependent chemical potential and temperature which we solve for self-consistently. We show that the finite reservoir can have a large impact on the stationary state transport properties, including a shift and broadening of the Coulomb diamond edges. We also demonstrate that there is a region around the conductance lines where a heat current flows out of the finite reservoir. Our results reveal the dependence of the temperature that can be reached by this thermoelectric cooling on the system parameters, in particular the coupling between the finite and infinite reservoirs and additional heat currents induced by electron-phonon couplings, and can thus serve as a guide for experiments on quantum-dot-enabled thermoelectric cooling of finite electron reservoirs. Finally, we study the full dynamics of the system, with a particular focus on the timescales involved in the thermoelectric cooling.</p>}},
author = {{Matern, Stephanie and Moreira, Saulo V. and Samuelsson, Peter and Leijnse, Martin}},
issn = {{2469-9950}},
language = {{eng}},
number = {{20}},
publisher = {{American Physical Society}},
series = {{Physical Review B}},
title = {{Thermoelectric cooling of a finite reservoir coupled to a quantum dot}},
url = {{http://dx.doi.org/10.1103/PhysRevB.110.205423}},
doi = {{10.1103/PhysRevB.110.205423}},
volume = {{110}},
year = {{2024}},
}