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Anyon Wave Function for the Fractional Quantum Hall Effect

O. Ciftja·G. Japaridze·X. Q. Wang
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Abstract

An anyon wave function (characterized by the statistical factor $n$) projected onto the lowest Landau level is derived for the fractional quantum Hall effect states at filling factor $ν= n/(2pn+1)$ ($p$ and $n$ are integers). We study the properties of the anyon wave function by using detailed Monte Carlo simulations in disk geometry and show that the anyon ground-state energy is a lower bound to the composite fermion one.

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O. Ciftja, G. Japaridze, X. Q. Wang. 2005-05-11. Anyon Wave Function for the Fractional Quantum Hall Effect. https://doi.org/10.1088/0953-8984%2F17%2F19%2F011

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