A Variational Ground-State for the $ν=2/3$ Fractional Quantum Hall Regime

Details A Variational Ground-State for the $ν=2/3$ Fractional Quantum Hall Regime A Variational Ground-State for the $ν=2/3$ Fractional Quantum Hall Regime

1995-09-18

arxiv.org/abs/cond-mat/9509108v1

Int. J. Mod. Phys. B 10, 1425 (1996).

Physics

Condensed Matter

14 pages + 4 uuencoded figures

Scientific paper

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 presented and studied in detail. Using an exact relation between correlation functions of this state and those of the Laughlin $\nu=1/3$ wavefunction, 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. This transition should be observable in tunneling experiments through quantum dots.

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