Magnetism of quantum dot clusters: A Hubbard model study

Details Magnetism of quantum dot clusters: A Hubbard model study Magnetism of quantum dot clusters: A Hubbard model study

2008-04-30

arxiv.org/abs/0804.4745v1

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 9 figures

Scientific paper

10.1140/epjb/e2008-00285-7

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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