Abstract
We report the inclusion of phonon scattering to our recently established numerical package QmeQ for transport in quantum dot systems. This enables straightforward calculations for a large variety of devices. As examples we show (i) transport in a double-dot structure, where energy relaxation is crucial to match the energy difference between the levels, and (ii) the generation of electrical power by contacting cold electric contacts with quantum dot states, which are subjected to heated phonons.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M.H. Devoret, D. Esteve, C. Urbina, Nature 360, 547 (1992)
S. Tarucha, D.G. Austing, T. Honda, R.J. van der Hage, L.P. Kouwenhoven, Phys. Rev. Lett. 77, 3613 (1996)
L.P. Kouwenhoven et al., Science 278, 1788 (1997)
S.M. Reimann, M. Manninen, Rev. Mod. Phys. 74, 1283 (2002)
C. Thelander et al., Mater. Today 9, 28 (2006)
A.I. Boukai et al., Nature 451, 168 (2008)
R. Agarwal, C. Lieber, Appl. Phys. A 85, 209 (2006)
J.V. Koski, V.F. Maisi, J.P. Pekola, D.V. Averin, PNAS 111, 13786 (2014)
M. Karimi et al., Nano Lett. 18, 365 (2018)
M.A. Kastner, Rev. Mod. Phys. 64, 849 (1992)
D.V. Averin, A.N. Korotkov, K.K. Likharev, Phys. Rev. B 44, 6199 (1991)
T.A. Fulton, G.J. Dolan, Phys. Rev. Lett. 59, 109 (1987)
R.C. Ashoori, Nature 379, 413 (1996)
L.P. Kouwenhoven et al., Z. Phys. B 85, 367 (1991)
D.V. Averin, K.K. Likharev, J. Low Temp. Phys. 62, 345 (1986)
S.A. Gurvitz, Y.S. Prager, Phys. Rev. B 53, 15932 (1996)
M.A. Stroscio, K.W. Kim, S. Yu, A. Ballato, J. Appl. Phys. 76, 4670 (1994)
F. Vaurette et al., Appl. Phys. Lett. 92, 242109 (2008)
C. Weber et al., Phys. Rev. Lett. 104, 036801 (2010)
D.M.-T. Kuo, Y.-C. Chang, Phys. Rev. B 81, 205321 (2010)
J. Azema, P. Lombardo, A.-M. Daré, Phys. Rev. B 90, 205437 (2014)
M. Leijnse, M.R. Wegewijs, K. Flensberg, Phys. Rev. B 82, 045412 (2010)
L. Henriet, A.N. Jordan, K. Le Hur, Phys. Rev. B 92, 125306 (2015)
H. Bruus, K. Flensberg, Many-Body Quantum Theory in Condensed Matter Physics (Oxford University Press, New York, 2004)
C. Timm, Phys. Rev. B 77, 195416 (2008)
D.A. Ryndyk, R. Gutiérrez, B. Song, G. Cuniberti, Green function techniques in the treatment of quantum transport at the molecular scale, in Energy Transfer Dynamics in Biomaterial Systems, edited by I. Burghardt, V. May, D.A. Micha, E.R. Bittner (Springer-Verlag, Berlin, Heidelberg, 2009), pp. 213–335
G. Schaller, Open Quantum Systems far from Equilibrium (Springer, Heidelberg, 2014)
G. Kiršanskas, J.N. Pedersen, O. Karlström, M. Leijnse, A. Wacker, Comput. Phys. Commun. 221, 317 (2017)
B. Sothmann, R. Sanchez, A.N. Jordan, M. Büttiker, New J. Phys. 15, 095021 (2013)
H.-P. Breuer, F. Petruccione, Open Quantum Systems (Oxford University Press, Oxford, 2006)
R.K. Wangsness, F. Bloch, Phys. Rev. 89, 728 (1953)
A.G. Redfield, IBM J. Res. Dev. 1, 19 (1957)
J.N. Pedersen, A. Wacker, Phys. Rev. B 72, 195330 (2005)
J.N. Pedersen, A. Wacker, Physica E 42, 595 (2010)
G. Lindblad, Commun. Math. Phys. 48, 119 (1976)
G. Kiršanskas, M. Franckié, A. Wacker, Phys. Rev. B 97, 035432 (2018)
N.S. Wingreen, K.W. Jacobsen, J.W. Wilkins, Phys. Rev. B 40, 11834 (1989)
G. Lindwall, A. Wacker, C. Weber, A. Knorr, Phys. Rev. Lett. 99, 087401 (2007)
B. Goldozian, F.A. Damtie, G. Kiršanskas, A. Wacker, Sci. Rep. 6, 22761 (2016)
K. Ono, D.G. Austing, Y. Tokura, S. Tarucha, Science 297, 1313 (2002)
A.C. Johnson, J.R. Petta, C.M. Marcus, M.P. Hanson, A.C. Gossard, Phys. Rev. B 72, 165308 (2005)
J.-H. Jiang, Y. Imry, Phys. Rev. Appl. 7, 064001 (2017)
O. Entin-Wohlman, D. Chowdhury, A. Aharony, S. Dattagupta, Phys. Rev. B 96, 195435 (2017)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://doi.org/creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Goldozian, B., Kiršanskas, G., Damtie, F.A. et al. Quantifying the impact of phonon scattering on electrical and thermal transport in quantum dots. Eur. Phys. J. Spec. Top. 227, 1959–1967 (2019). https://doi.org/10.1140/epjst/e2018-800051-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2018-800051-9