A Variational Ground-State for the Fractional Quantum Hall Regime
arXiv:cond-mat/9509108 · doi:10.1142/S0217979296000544
Abstract
A variational state, which unifies the sharp edge picture of MacDonald with the soft edge picture of Chang and of Beenakker is presented and studied in detail. Using an exact relation between correlation functions of this state and those of the Laughlin wavefunction, the correlation functions of the state are determined via a classical Monte Carlo calculation, for systems up to electrons. It is found that as a function of the slope of the confining potential there is a sharp transition of the ground state from one description to the other. This transition should be observable in tunneling experiments through quantum dots.
arXiv comment14 pages + 4 uuencoded figures