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Abstracts
In this contribution we study the accuracy of various forms of electron effective mass equation in reproducing spectral and spin-related features of quantum dot systems. We compare the results of the standard 8 band k·p model to those obtained from effective mass equations obtained by perturbative elimination procedures in various approximtions for a cylindrical quantum dot or a system of two such dots. We calculate the splitting of electronic shells, the electron g-factor and spin-orbit induced spin mixing and show that for a cylindrical dot the g-factor is reproduced very exactly, while for the two other quantities the effective mass equation is much less accurate.
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376-379
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Dates
published
2017-08
Contributors
author
- Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
author
- Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
author
- Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
References
- [1] L.C. Lew Yan Voon, M. Willatzen, The $k· p$ Method, Springer, Berlin 2009
- [2] R. Winkler, Spin-Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems, Vol. 191 of Springer Tracts in Modern Physics, Springer, Berlin 2003
- [3] E. Kadantsev, P. Hawrylak, Phys. Rev. B 81, 045311 (2010)
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- [5] P.-L. Ardelt, K. Gawarecki, K. Müller, A.A. Waeber, A. Bechtold, K. Oberhofer, J.J. Daniels, F. Klotz, M. Bichler, T. Kuhn, H.H. Krenner, P. Machnikowski, J.J. Finley, Phys. Rev. Lett. 116, 077401 (2016)
- [6] J.M. Luttinger, W. Kohn, Phys. Rev. 97, 869 (1955)
- [7] R. Dingle, W. Wiegmann, C.H. Henry, Phys. Rev. Lett. 33, 827 (1974)
- [8] J. Maan, M. Altarelli, H. Sigg, P. Wyder, L. Chang, L. Esaki, Surf. Sci. 113, 347 (1982)
- [9] A. Mielnik-Pyszczorski, K. Gawarecki, P. Machnikowski, arXiv: 1706.04093, (2017) http://arXiv.org/abs/1706.04093
- [10] P.-O. Löwdin, J. Chem. Phys. 19, 1396 (1951)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv132n2p45kz