Microscopic wave functions for the fractional quantized Hall states atν=25 and 27

Abstract

New microscopic trial wave functions are proposed for fractional quantized Hall states at $\nu =\frac{2}{\mathrm{}(2p+1)\mathrm{}}$. Results for $\nu =\frac{2}{5} \mathrm{and} \frac{2}{7}$ based on Monte Carlo and exact numerical computations are presented. For $N\le 10$ electrons on a sphere, energies differ from the exact ground-state energy by less than 0.3%. For even $p$, such as $\nu =\frac{2}{5}$, the trial wave function may be regarded as a microscopic realization of the condensed quasiparticle state postulated in hierarchical schemes.