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Variational Monte Carlo for Interacting Electrons in Quantum Dots

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Abstract

We use a variational Monte Carlo algorithm to solve the electronic structure of two-dimensional semiconductor quantum dots in external magnetic field. We present accurate many-body wave functions for the system in various magnetic field regimes. We show the importance of symmetry, and demonstrate how it can be used to simplify the variational wave functions. We present in detail the algorithm for e_cient wave function optimization. We also present a Monte Carlo -based diagonalization technique to solve the quantum dot problem in the strong magnetic _eld limit where the system is of a multiconfiguration nature.

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Authors and Affiliations

  1. Laboratory of Physics, Helsinki University of Technology, P.O. Box 1100, FIN-02015 HUT, Finland

    Ari Harju

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  1. Ari Harju
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Additional information

PACS numbers: 71.10.−w, 73.21.La, 02.70.Ss

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Harju, A. Variational Monte Carlo for Interacting Electrons in Quantum Dots. J Low Temp Phys 140, 181–210 (2005). https://doi.org/10.1007/s10909-005-6308-7

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  • DOI: https://doi.org/10.1007/s10909-005-6308-7

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