Abstract
The possibility of magnetic ordered states in a semiconductor quantum dot array is proposed theoretically. On the basis of the calculated on-site repulsion energy and the electron transfer energy, it is found that the GaAs/AlGaAs quantum dot system can be described by the one-band Hubbard model. Within the framework of the mean field approximation for this model, it is shown that the magnetic ordering such as ferro- and antiferromagnetism can be expected in quantum dot arrays with a dot width and spacing of 50 Å ∼200 Å.
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