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Laughlin's Wavefunction and the Fractional Quantum Hall Effect
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The 1982-1983 discovery of fractional quantum Hall plateaus and Laughlin's
many-body trial wavefunction that explains them: sampling
:math:`|\Psi_m|^2` directly by Metropolis Monte Carlo via its "plasma
analogy," and extracting the correlation hole and incompressible-droplet
density profile that are its defining signatures.


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    <div class="sphx-glr-thumbcontainer" tooltip="Tsui, Stormer, and Gossard&#x27;s 1982 discovery of a Hall plateau at filling \nu=1/3 -- a fraction the single-particle Landau-level picture behind the integer effect cannot explain, since a partially filled Landau level is gapless without interactions -- was explained the following year by Laughlin&#x27;s many-body trial wavefunction,">

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  :doc:`/api/gallery/condensed/laughlin/plot_laughlin_correlation_hole`

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      <div class="sphx-glr-thumbnail-title">The Fractional Quantum Hall Effect: Laughlin's Correlation Hole</div>
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   /api/gallery/condensed/laughlin/plot_laughlin_correlation_hole