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Performance of the coupled-cluster singles and doubles method applied to two-dimensional quantum dots
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2013 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 87, no 3, 035112- p.Article in journal (Refereed) Published
Abstract [en]

An implementation of the coupled-cluster single and double excitations (CCSD) method on two-dimensional quantum dots is presented. Advantages and limitations are studied through comparison with other high accuracy approaches, including another CCSD implementation, for up to twelve confined electrons. The possibility to effectively use a very large basis set is found to be an important advantage compared to full configuration interaction implementations. The error in the ground-state energy introduced by truncating at triple excitations is shown to be comparable to the difference between the results from the variation and diffusion Monte Carlo methods. Convergence of the iterative solution of the coupled cluster equations is found for surprisingly weak confinement strengths even when the full electron-electron interaction is treated as a perturbation. The relevance of the omitted excitations is investigated through comparison with full configuration interaction results. DOI: 10.1103/PhysRevB.87.035112

Place, publisher, year, edition, pages
2013. Vol. 87, no 3, 035112- p.
National Category
Physical Sciences
URN: urn:nbn:se:su:diva-87693DOI: 10.1103/PhysRevB.87.035112ISI: 000313331900002OAI: diva2:605854
Swedish Research Council


Available from: 2013-02-15 Created: 2013-02-14 Last updated: 2014-04-24Bibliographically approved
In thesis
1. Many-Body effects in Semiconductor Nanostructures
Open this publication in new window or tab >>Many-Body effects in Semiconductor Nanostructures
2014 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Low dimensional semiconductor structures are modeled using techniques from the field of many-body atomic physics. B-splines are used to create a one-particle basis, used to solve the more complex many-body problems. Details on methods such as the Configuration Interaction (CI), Many-Body Perturbation Theory (MBPT) and Coupled Cluster (CC) are discussed. Results from the CC singles and doubles method are compared to other high-precision methods for the circular harmonic oscillator quantum dot. The results show a good agreement for the energy of many-body states of up to 12 electrons.

Properties of elliptical quantum dots, circular quantum dots, quantum rings and concentric quantum rings are all reviewed. The effects of tilted external magnetic fields applied to the elliptical dot are discussed, and the energy splitting between the lowest singlet and triplet states is explored for varying geometrical properties. Results are compared to experimental energy splittings for the same system containing 2 electrons.

Place, publisher, year, edition, pages
Stockholm: Department of Physics, Stockholm University, 2014. 44 p.
coupled cluster, nanostructure, quantum dot, quantum ring, concentric quantum ring, many body pertubation theory
National Category
Nano Technology Atom and Molecular Physics and Optics
Research subject
urn:nbn:se:su:diva-102344 (URN)
2014-04-25, FA31, AlbaNova universitetscentrum, Roslagstullsbacken 21, Stockholm, 16:05 (English)
Available from: 2014-04-24 Created: 2014-04-02 Last updated: 2014-04-24Bibliographically approved

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Wesslén, Carl J.Lindroth, Eva
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