Variational wave function for a quantum dot in a magnetic field: A quantum Monte Carlo study

Author: Harju A.   Sverdlov V. A.   Nieminen R. M.  

Publisher: Edp Sciences

E-ISSN: 1286-4854|41|4|407-412

ISSN: 0295-5075

Source: EPL (EUROPHYSICS LETTERS), Vol.41, Iss.4, 2010-03, pp. : 407-412

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Abstract

An efficient variational many-body wave function for electrons in aquantum dot is introduced. We show that the proposed bosonic two-bodycorrelation factor is able to capture nearly exactly the missingcorrelations of the lowest-Landau-level many-body wave function. Wecompare the results with exact diagonalizations. The comparisonshows that quantum Monte Carlo techniques combined with the proposedwave function are a powerful tool for studying quantum dots. Asfurther evidence for this, we apply the scheme to a maximum densitydroplet state for up to 40 electrons.