Many-body wave function for a quantum dot in a weak magnetic field

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© 1999 American Physical Society (APS). This is the accepted version of the following article: Harju, A. & Sverdlov, V. A. & Nieminen, Risto M. & Halonen, V. 1999. Many-body wave function for a quantum dot in a weak magnetic field. Physical Review B. Volume 59, Issue 8. 5622-5626. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.59.5622, which has been published in final form at http://journals.aps.org/prb/abstract/10.1103/PhysRevB.59.5622.
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School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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en

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5622-5626

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Physical Review B, Volume 59, Issue 8

Abstract

The ground states of parabolically confined electrons in a quantum dot are studied by both direct numerical diagonalization and quantum Monte Carlo (QMC) methods. We present a simple but accurate variational many-body wave function for the dot in the limit of a weak magnetic field. The wave function has the center-of-mass motion restricted to the lowest-energy state and the electron-electron interaction is taken into account by a Jastrow two-body correlation factor. The optimized wave function has an accuracy very close to the state-of-the-art numerical diagonalization calculations. The results and the computational efficiency indicate that the presented wave function combined with the QMC method suits ideally for studies of large quantum dots.

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Harju, A. & Sverdlov, V. A. & Nieminen, Risto M. & Halonen, V. 1999. Many-body wave function for a quantum dot in a weak magnetic field. Physical Review B. Volume 59, Issue 8. 5622-5626. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.59.5622.