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

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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en

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Physical Review B, Volume 59, issue 8, pp. 5622-5626

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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, R M & Halonen, V 1999, 'Many-body wave function for a quantum dot in a weak magnetic field', Physical Review B, vol. 59, no. 8, pp. 5622-5626. https://doi.org/10.1103/PhysRevB.59.5622