Quantum dots in high magnetic fields: Calculation of ground-state properties

J. Kainz, S. A. Mikhailov, A. Wensauer, and U. Rössler
Phys. Rev. B 65, 115305 – Published 19 February 2002
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Abstract

We present a variational method for calculating ground-state properties of quantum dots in high magnetic fields. Assuming a perfect spin alignment, we construct a many-body trial wave function in the form of a single Slater determinant of overlapping oscillator functions from the lowest Landau level centered around some points Ri inside the dot. The points Ri either coincide with the classical equilibrium positions or are considered as variational parameters to minimize the total energy of the system. Using these trial wave functions, we analytically calculate the ground-state properties. We present ground-state energies for up to N=40 electrons, compare them with available exact results for up to N=10, and give a transparent interpretation of the results.

  • Received 12 July 2001

DOI:https://doi.org/10.1103/PhysRevB.65.115305

©2002 American Physical Society

Authors & Affiliations

J. Kainz, S. A. Mikhailov*, A. Wensauer, and U. Rössler

  • Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg

  • *Present address: Institut für Physik, Universität Augsburg, D-86 135 Augsburg, Germany,

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Issue

Vol. 65, Iss. 11 — 15 March 2002

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