Volume 41, Number 4, february II 1998
|Page(s)||407 - 412|
|Section||Condensed matter: electronic structure, electrical, magnetic and optical properties|
|Published online||01 September 2002|
Variational wave function for a quantum dot in a magnetic field: A quantum Monte Carlo study
Laboratory of Physics, Helsinki University of Technology,
2 Freie Universität Berlin, Germany
Corresponding author: Ari.Harju@hut.fi
Accepted: 9 January 1998
An efficient variational many-body wave function for electrons in a quantum dot is introduced. We show that the proposed bosonic two-body correlation factor is able to capture nearly exactly the missing correlations of the lowest-Landau-level many-body wave function. We compare the results with exact diagonalizations. The comparison shows that quantum Monte Carlo techniques combined with the proposed wave function are a powerful tool for studying quantum dots. As further evidence for this, we apply the scheme to a maximum density droplet state for up to 40 electrons.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 73.61.-r – Electrical properties of specific thin films and layer structures (multilayers, superlattices, quantum wells, wires, and dots) / 71.45.Gm – Exchange, correlation, dielectric and magnetic functions, plasmons
© EDP Sciences, 1998
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