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A theoretical study on the Coulomb oscillation in a two-dimensional quantum dot

✍ Scribed by Yisong Zheng; Tianquan Lü

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
96 KB
Volume
5
Category
Article
ISSN
1386-9477

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✦ Synopsis

The multiple level Anderson model and the exact many-body Hamiltionian are employed to describe the interacting electrons in the two-dimensional quantum dots, respectively. By diagonalizing the Hamiltonians of the two models, the numerical results of the conductance through a quantum dot with relatively large size in the weak coupling limit are obtained. The remarkable di erence of the calculated conductances between the two models shows that the multiple level Anderson model is not applicable to such a quantum dot. By comparing the two-electron ground state energies calculated via the two models, the validity of the Anderson model to the quantum dots with di erent sizes is examined. It is found that only for very small quantum dot in which the conÿnement energy is far larger than electron interaction energy the Anderson model can give the accurate results.

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