Y. Meir, A VARIATIONAL GROUND-STATE FOR THE V=2 3 FRACTIONAL QUANTUM HALL REGIME/, International journal of modern physics b, 10(12), 1996, pp. 1425-1437
A variational nu = 2/3 state, which unifies the sharp edge picture of
MacDonald with the soft edge picture of Chang and of Beenakker is pres
ented and studied in detail. Using an exact relation between correlati
on functions of this state and those of the Laughlin nu = 1/3 wavefunc
tion, the correlation functions of the nu = 2/3 state are determined v
ia a classical Monte Carlo calculation, for systems up to 50 electrons
. It is found that as a function of the slope of the confining potenti
al there is a sharp transition of the ground state from one descriptio
n to the other. This transition should be observable in tunneling expe
riments through quantum dots.