Anyon Wave Function for the Fractional Quantum Hall Effect

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

Reference added

References in corpus (4)

• Response functions and Spectrum of Collective Excitations of Fractional Quantum Hall Effect Systems
• Finite-Wavevector Electromagnetic Response of Fractional Quantized Hall States
• Response Function of the Fractional Quantized Hall State on a Sphere II: Exact Diagonalization
• Response Function of the Fractional Quantized Hall State on a Sphere I: Fermion Chern-Simons Theory

Cited by in corpus (1)

• Kohn-Sham Density Functional Theory of Abelian Anyons