Composite Edge States in the $\nu =2/3$ Fractional Quantum Hall Regime

Abstract

A generalized $\nu =2/3$ 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 $\nu =1/3$ wave function, the correlation functions of the $\nu =2/3$ 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.

11 pages, REVTEX 3.0, two postrscript figures available upon request

References in corpus (1)

• Fractional Quantum Hall States in Narrow Channels

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