Statistical Analysis of the Figure of Merit of a Two-Level Thermoelectric System: A Random Matrix Approach

Handle URI:
http://hdl.handle.net/10754/622605
Title:
Statistical Analysis of the Figure of Merit of a Two-Level Thermoelectric System: A Random Matrix Approach
Authors:
Abbout, Adel; Ouerdane, Henni; Goupil, Christophe
Abstract:
Using the tools of random matrix theory we develop a statistical analysis of the transport properties of thermoelectric low-dimensional systems made of two electron reservoirs set at different temperatures and chemical potentials, and connected through a low-density-of-states two-level quantum dot that acts as a conducting chaotic cavity. Our exact treatment of the chaotic behavior in such devices lies on the scattering matrix formalism and yields analytical expressions for the joint probability distribution functions of the Seebeck coefficient and the transmission profile, as well as the marginal distributions, at arbitrary Fermi energy. The scattering matrices belong to circular ensembles which we sample to numerically compute the transmission function, the Seebeck coefficient, and their relationship. The exact transport coefficients probability distributions are found to be highly non-Gaussian for small numbers of conduction modes, and the analytical and numerical results are in excellent agreement. The system performance is also studied, and we find that the optimum performance is obtained for half-transparent quantum dots; further, this optimum may be enhanced for systems with few conduction modes.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Abbout A, Ouerdane H, Goupil C (2016) Statistical Analysis of the Figure of Merit of a Two-Level Thermoelectric System: A Random Matrix Approach. Journal of the Physical Society of Japan 85: 094704. Available: http://dx.doi.org/10.7566/JPSJ.85.094704.
Publisher:
Physical Society of Japan
Journal:
Journal of the Physical Society of Japan
Issue Date:
5-Aug-2016
DOI:
10.7566/JPSJ.85.094704
Type:
Article
ISSN:
0031-9015; 1347-4073
Additional Links:
http://journals.jps.jp/doi/10.7566/JPSJ.85.094704
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAbbout, Adelen
dc.contributor.authorOuerdane, Hennien
dc.contributor.authorGoupil, Christopheen
dc.date.accessioned2017-01-02T09:55:32Z-
dc.date.available2017-01-02T09:55:32Z-
dc.date.issued2016-08-05en
dc.identifier.citationAbbout A, Ouerdane H, Goupil C (2016) Statistical Analysis of the Figure of Merit of a Two-Level Thermoelectric System: A Random Matrix Approach. Journal of the Physical Society of Japan 85: 094704. Available: http://dx.doi.org/10.7566/JPSJ.85.094704.en
dc.identifier.issn0031-9015en
dc.identifier.issn1347-4073en
dc.identifier.doi10.7566/JPSJ.85.094704en
dc.identifier.urihttp://hdl.handle.net/10754/622605-
dc.description.abstractUsing the tools of random matrix theory we develop a statistical analysis of the transport properties of thermoelectric low-dimensional systems made of two electron reservoirs set at different temperatures and chemical potentials, and connected through a low-density-of-states two-level quantum dot that acts as a conducting chaotic cavity. Our exact treatment of the chaotic behavior in such devices lies on the scattering matrix formalism and yields analytical expressions for the joint probability distribution functions of the Seebeck coefficient and the transmission profile, as well as the marginal distributions, at arbitrary Fermi energy. The scattering matrices belong to circular ensembles which we sample to numerically compute the transmission function, the Seebeck coefficient, and their relationship. The exact transport coefficients probability distributions are found to be highly non-Gaussian for small numbers of conduction modes, and the analytical and numerical results are in excellent agreement. The system performance is also studied, and we find that the optimum performance is obtained for half-transparent quantum dots; further, this optimum may be enhanced for systems with few conduction modes.en
dc.publisherPhysical Society of Japanen
dc.relation.urlhttp://journals.jps.jp/doi/10.7566/JPSJ.85.094704en
dc.titleStatistical Analysis of the Figure of Merit of a Two-Level Thermoelectric System: A Random Matrix Approachen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalJournal of the Physical Society of Japanen
dc.contributor.institutionRussian Quantum Center, 100 Novaya Street, Moscow Region, Skolkovo, Russian Federationen
dc.contributor.institutionUFR Langues Vivantes Etrangères, Université de Caen Normandie, Esplanade de la Paix, Caen, Franceen
dc.contributor.institutionLaboratoire Interdisciplinaire des Energies de Demain (LIED), UMR 8236 Universitié Paris Diderot, CNRS, 5 Rue Thomas Mann, Paris, Franceen
kaust.authorAbbout, Adelen
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