Comptes Rendus
Thermoelectric mesoscopic phenomena / Phénomènes thermoélectriques mésoscopiques
Thermoelectrics with Coulomb-coupled quantum dots
[Effets thermoélectriques par couplage coulombien de boîtes quantiques]
Comptes Rendus. Physique, Mesoscopic thermoelectric phenomena / Phénomènes thermoélectriques mésoscopiques, Volume 17 (2016) no. 10, pp. 1109-1122.

Dans cet article, nous passons en revue les propriétés thermoélectriques de systèmes à trois terminaux faits de boîtes quantiques (BQ) en couplage coulombien, comme observé dans des expériences récentes [1,2]. Le système considéré est fait de deux BQ en régime de blocage de Coulomb ; l'une d'entre elles peut échanger des électrons avec un seul réservoir (réservoir de chaleur), tandis que l'autre est couplée par effet tunnel à deux réservoirs de plus basse température (conducteur). Le réservoir de chaleur et le conducteur n'interagissent seulement que par le biais du couplage coulombien entre les boîtes quantiques. Il a été trouvé que deux régimes doivent être considérés. Dans le premier, le flux de chaleur entre les deux systèmes est petit. Dans ce régime, des fluctuations de l'occupation de la BQ chaude engendrées thermiquement modifient les propriétés de transport du système conducteur. Cela conduit à un effet dit de grille thermique. Des expériences ont montré comment ceci pouvait être utilisé pour contrôler le flux de charge dans le conducteur en jouant sur la température d'un réservoir à distance. Nous détaillons ces observations par des calculs sur un modèle et discutons les conséquences relatives à la réalisation d'un transistor tout thermique. Dans le deuxième régime, le flux de chaleur entre les deux systèmes est pertinent. Ici, le sytème travaille comme un nano-moteur thermique, comme cela a été proposé recemment (Sánchez and Büttiker [3]). Nous passons en revue les concepts, les réalisations expérimentales et les propriétés nouvelles émergeant de cette nouvelle sorte de systèmes thermoélectriques, tels que le découplage entre les flux de charge et de chaleur.

In this article we review the thermoelectric properties of three terminal devices with Coulomb-coupled quantum dots (QDs) as observed in recent experiments [1,2]. The system we consider consists of two Coulomb-blockade QDs, one of which can exchange electrons with only a single reservoir (heat reservoir), while the other dot is tunnel coupled with two reservoirs at a lower temperature (conductor). The heat reservoir and the conductor interact only via the Coulomb coupling of the quantum dots. It has been found that two regimes have to be considered. In the first one, the heat flow between the two systems is small. In this regime, thermally driven occupation fluctuations of the hot QD modify the transport properties of the conductor system. This leads to an effect called thermal gating. Experiments have shown how this can be used to control charge flow in the conductor by means of temperature in a remote reservoir. We further substantiate the observations with model calculations, and implications for the realisation of an all-thermal transistor are discussed. In the second regime, the heat flow between the two systems is relevant. Here the system works as a nanoscale heat engine, as proposed recently (Sánchez and Büttiker [3]). We review the conceptual idea, its experimental realisation and the novel features arising in this new kind of thermoelectric device such as decoupling of heat and charge flow.

Publié le :
DOI : 10.1016/j.crhy.2016.08.001
Keywords: Mesoscopic thermoelectrics, Quantum dot, Coulomb blockade, Thermal gating, Energy harvesting
Mots-clés : Thermoélectrique mésoscopique, Boîte quantique, Blocage de Coulomb, Grille thermique, Récolte d'énergie

Holger Thierschmann 1, 2 ; Rafael Sánchez 3 ; Björn Sothmann 4 ; Hartmut Buhmann 1 ; Laurens W. Molenkamp 1

1 Experimentelle Physik 3, Physikalisches Institut, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
2 Kavli Institut of Nanoscience, Faculty of Applied Sciences, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands
3 Instituto Gregorio Millán, Universidad Carlos III de Madrid, 28911 Leganés, Madrid, Spain
4 Institute for Theoretical Physics and Astrophysics, University of Würzburg, Am Hubland, 97074 Würzburg, Germany
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Holger Thierschmann; Rafael Sánchez; Björn Sothmann; Hartmut Buhmann; Laurens W. Molenkamp. Thermoelectrics with Coulomb-coupled quantum dots. Comptes Rendus. Physique, Mesoscopic thermoelectric phenomena / Phénomènes thermoélectriques mésoscopiques, Volume 17 (2016) no. 10, pp. 1109-1122. doi : 10.1016/j.crhy.2016.08.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2016.08.001/

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  • Rongqian Wang; Chen Wang; Jincheng Lu; Jian-Hua Jiang Inelastic thermoelectric transport and fluctuations in mesoscopic systems, Advances in Physics: X, Volume 7 (2022) no. 1 | DOI:10.1080/23746149.2022.2082317
  • Mengmeng Xi; Rongqian Wang; Jincheng Lu; Jian-Hua Jiang Coulomb Thermoelectric Drag in Four-Terminal Mesoscopic Quantum Transport, Chinese Physics Letters, Volume 38 (2021) no. 8, p. 088801 | DOI:10.1088/0256-307x/38/8/088801
  • Kum Hyok Jong; Song Mi Ri; Chol Won Ri Parametric study for optimal performance of Coulomb-coupled quantum dots, Journal of Physics: Condensed Matter, Volume 33 (2021) no. 37, p. 375302 | DOI:10.1088/1361-648x/ac0f2a
  • R. David Mayrhofer; Cyril Elouard; Janine Splettstoesser; Andrew N. Jordan Stochastic thermodynamic cycles of a mesoscopic thermoelectric engine, Physical Review B, Volume 103 (2021) no. 7 | DOI:10.1103/physrevb.103.075404
  • Jincheng Lu; Jian-Hua Jiang; Yoseph Imry Unconventional four-terminal thermoelectric transport due to inelastic transport: Cooling by transverse heat current, transverse thermoelectric effect, and Maxwell demon, Physical Review B, Volume 103 (2021) no. 8 | DOI:10.1103/physrevb.103.085429
  • Anand Manaparambil; Ireneusz Weymann Spin Seebeck effect of correlated magnetic molecules, Scientific Reports, Volume 11 (2021) no. 1 | DOI:10.1038/s41598-021-88373-7
  • Jens Schulenborg; Maarten R. Wegewijs; Janine Splettstoesser Thermovoltage in quantum dots with attractive interaction, Applied Physics Letters, Volume 116 (2020) no. 24 | DOI:10.1063/5.0008866
  • María Florencia Ludovico; Massimo Capone Slave-spin-1 formulation: A simple approach to time-dependent transport through an interacting two-level system, Physical Review B, Volume 101 (2020) no. 24 | DOI:10.1103/physrevb.101.245437
  • Wan-Xiu He; Zhan Cao; Gao-Yang Li; Lin Li; Hai-Feng Lü; ZhenHua Li; Hong-Gang Luo Performance of theT-matrix based master equation for Coulomb drag in double quantum dots, Physical Review B, Volume 101 (2020) no. 3 | DOI:10.1103/physrevb.101.035417
  • M. Lavagna; V. Talbo; T. Q. Duong; A. Crépieux Level anticrossing effect in single-level or multilevel double quantum dots: Electrical conductance, zero-frequency charge susceptibility, and Seebeck coefficient, Physical Review B, Volume 102 (2020) no. 11 | DOI:10.1103/physrevb.102.115112
  • A.-M. Daré Comparative study of heat-driven and power-driven refrigerators with Coulomb-coupled quantum dots, Physical Review B, Volume 100 (2019) no. 19 | DOI:10.1103/physrevb.100.195427
  • Miguel A. Sierra; David Sánchez; Antti-Pekka Jauho; Kristen Kaasbjerg Fluctuation-driven Coulomb drag in interacting quantum dot systems, Physical Review B, Volume 100 (2019) no. 8 | DOI:10.1103/physrevb.100.081404
  • Hari Kumar Yadalam; Upendra Harbola Statistics of heat transport across a capacitively coupled double quantum dot circuit, Physical Review B, Volume 99 (2019) no. 19 | DOI:10.1103/physrevb.99.195449
  • Jincheng Lu; Rongqian Wang; Jie Ren; Manas Kulkarni; Jian-Hua Jiang Quantum-dot circuit-QED thermoelectric diodes and transistors, Physical Review B, Volume 99 (2019) no. 3 | DOI:10.1103/physrevb.99.035129
  • Yair Mazal; Yigal Meir; Yonatan Dubi Nonmonotonic thermoelectric currents and energy harvesting in interacting double quantum dots, Physical Review B, Volume 99 (2019) no. 7 | DOI:10.1103/physrevb.99.075433
  • Rafael Sánchez; Peter Samuelsson; Patrick P. Potts Autonomous conversion of information to work in quantum dots, Physical Review Research, Volume 1 (2019) no. 3 | DOI:10.1103/physrevresearch.1.033066
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  • Bibek Bhandari; Giuliano Chiriacò; Paolo A. Erdman; Rosario Fazio; Fabio Taddei Thermal drag in electronic conductors, Physical Review B, Volume 98 (2018) no. 3 | DOI:10.1103/physrevb.98.035415
  • Paolo Andrea Erdman; Bibek Bhandari; Rosario Fazio; Jukka P. Pekola; Fabio Taddei Absorption refrigerators based on Coulomb-coupled single-electron systems, Physical Review B, Volume 98 (2018) no. 4 | DOI:10.1103/physrevb.98.045433
  • Yanchao Zhang; Xin Zhang; Zhuolin Ye; Guoxing Lin; Jincan Chen Three-terminal quantum-dot thermal management devices, Applied Physics Letters, Volume 110 (2017) no. 15 | DOI:10.1063/1.4979977
  • Rafael Sánchez; Holger Thierschmann; Laurens W Molenkamp Single-electron thermal devices coupled to a mesoscopic gate, New Journal of Physics, Volume 19 (2017) no. 11, p. 113040 | DOI:10.1088/1367-2630/aa8b94
  • Guillem Rosselló; Rosa López; Rafael Sánchez Dynamical Coulomb blockade of thermal transport, Physical Review B, Volume 95 (2017) no. 23 | DOI:10.1103/physrevb.95.235404
  • Rafael Sánchez; Holger Thierschmann; Laurens W. Molenkamp All-thermal transistor based on stochastic switching, Physical Review B, Volume 95 (2017) no. 24 | DOI:10.1103/physrevb.95.241401
  • Nicklas Walldorf; Antti-Pekka Jauho; Kristen Kaasbjerg Thermoelectrics in Coulomb-coupled quantum dots: Cotunneling and energy-dependent lead couplings, Physical Review B, Volume 96 (2017) no. 11 | DOI:10.1103/physrevb.96.115415
  • A.-M. Daré; P. Lombardo Powerful Coulomb-drag thermoelectric engine, Physical Review B, Volume 96 (2017) no. 11 | DOI:10.1103/physrevb.96.115414
  • Philipp Strasberg; Gernot Schaller; Tobias Brandes; Massimiliano Esposito Quantum and Information Thermodynamics: A Unifying Framework Based on Repeated Interactions, Physical Review X, Volume 7 (2017) no. 2 | DOI:10.1103/physrevx.7.021003
  • Artis Svilans; Martin Leijnse; Heiner Linke Experiments on the thermoelectric properties of quantum dots, Comptes Rendus. Physique, Volume 17 (2016) no. 10, p. 1096 | DOI:10.1016/j.crhy.2016.08.002

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