Interacting electrons in a 2D quantum dot

Details Interacting electrons in a 2D quantum dot Interacting electrons in a 2D quantum dot

1998-09-14

arxiv.org/abs/cond-mat/9809192v1

Physica B, 262 (1999) 317.

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 5 postscript figures

Scientific paper

10.1016/S0921-4526(98)01159-4

The exact numerical diagonalization of the Hamiltonian of a 2D circular quantum dot is performed for 2, 3, and 4 electrons.The results are compared with those of the perturbation theory.Our numerical results agree reasonably well for small values of the dimensionles coupling constant \lambda=a\over a_B where a is the dot radius and a_B is the effective Bohr radius.Exact diagonalization results are compared with the classical predictions, and they are found to be almost coincident for large \lambda values. PACS Numbers: 73.20.Dx, 73.61.-r

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