Anyon Wave Function for the Fractional Quantum Hall Effect

الأصل · EN

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.