Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1997-03-02
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
ReVTeX 3.0
Scientific paper
10.1103/PhysRevB.56.12108
We present a density-functional theory (DFT) approach to the study of the phase diagram of the maximum density droplet (MDD) in two-dimensional quantum dots in a magnetic field. Within the lowest Landau level (LLL) approximation, analytical expressions are derived for the values of the parameters $N$ (number of electrons) and $B$ (magnetic field) at which the transition from the MDD to a ``reconstructed'' phase takes place. The results are then compared with those of full Kohn-Sham calculations, giving thus information about both correlation and Landau level mixing effects. Our results are also contrasted with those of Hartree-Fock (HF) calculations, showing that DFT predicts a more compact reconstructed edge, which is closer to the result of exact diagonalizations in the LLL.
Ferconi M.
Vignale Giovanni
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