A SIMPLE-MODEL FOR THE PREDICTION OF GROUND-STATES OF INTERACTING 2D ELECTRON DROPLETS AND QUANTUM DOTS

A simple model is presented for predicting the numerically 'observed' sequence of ground states (GSs) of 2D electron droplets and quantum do ts in strong magnetic fields. The model is based on the assumption tha t exchange and correlation in the 2D electron gas induce gaps in the l owest Landau level, producing a sub-landau level (SLL) structure. The sequence of GSs results from filling the SLLs as the total angular mom entum L is increased. Using the numerically 'known' energies (for a fe w L) for N less than or equal to 6 we present a fit formula to predict , to within 2% accuracy, the GSs for higher N and L for which exact di agonalization results are unavailable. Typical results for N = 6, 7 an d 10 droplets are presented.