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Magnetism of quantum dot clusters: a Hubbard model study

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Abstract

Magnetic properties of two and three-dimensional clusters of quantum dots are studied with exact diagonalization of a generalized Hubbard model. We study the weak coupling limit, where the electrons interact only within a quantum dot and consider cases where the second or third harmonic oscillator shell is partially filled. The results show that in the case of half-filled shell the magnetism is determined by the antiferromagnetic Heisenberg model with spin 1/2, 1 or 3/2, depending on the number of electrons in the open shell. For other fillings the system in most cases favors a large total spin, indicating a ferromagnetic coupling between the dots.

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Authors and Affiliations

  1. NanoScience Center, Department of Physics, 40014 University of Jyväskylä, Jyväskylä, Finland

    J. -P. Nikkarila, M. Koskinen & M. Manninen

  2. Inspecta LTD, 02151, Espoo, Finland

    J. -P. Nikkarila

Authors
  1. J. -P. Nikkarila
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  2. M. Koskinen
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  3. M. Manninen
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Correspondence to M. Manninen.

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Nikkarila, J.P., Koskinen, M. & Manninen, M. Magnetism of quantum dot clusters: a Hubbard model study. Eur. Phys. J. B 64, 95–103 (2008). https://doi.org/10.1140/epjb/e2008-00285-7

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  • DOI: https://doi.org/10.1140/epjb/e2008-00285-7

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