Composite Edge States in the =2/3 Fractional Quantum Hall Regime
Abstract
A generalized =2/3 state, which unifies the edge-state pictures of MacDonald and of Beenakker is presented and studied in detail. Using an exact relation between correlation functions of this state and those of the Laughlin =1/3 wave function, the correlation functions of the =2/3 state are determined via a classical Monte Carlo calculation, for systems up to 50 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. The experimental implications are discussed.
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