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

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arxiv cond-mat/9509108 v1 pith:LGQZOBNE submitted 1995-09-18 cond-mat

Yigal Meir (Physics Department , Ben Gurion University , Beer Sheva , ISRAEL , Physics Department , University of California , Santa Barbara , CA) This is my paper · ORCID
classification cond-mat
keywords statecorrelationedgefunctionspicturequantumsharptransition
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abstract

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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Cited by 1 Pith paper

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  1. Anyon Dispersion in Aharonov-Casher Bands and Implications for Twisted MoTe${}_2$

    cond-mat.str-el 2025-12 conditional novelty 7.0 of 10

    Laughlin quasiholes in an Aharonov-Casher band acquire a finite dispersion, of order 1 meV in twisted MoTe2, produced by non-uniform quantum geometry and the anyon Berry phase.

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