Anyon Wave Function for the Fractional Quantum Hall Effect

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Scientific paper

10.1088/0953-8984/17/19/011

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 $\nu = n/(2pn+1)$ ($p$ 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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