Abstract
Monte Carlo methods have been employed to evaluate the energy of two previously proposed trial wave functions for the quasiparticle at the quantized Hall state of the two-dimensional electron system. The two wave functions have the same energy within our statistical accuracy, and are consistent with a value , where is the magnetic length, and the background dielectric constant. Simulations of the quasihole state confirm previous estimates of . We have also studied the charge distributions of the quasiparticle and quasihole states, and we have evaluated the energies of a previously proposed microscopic trial wave function for the ground state at .
- Received 24 June 1985
DOI:https://doi.org/10.1103/PhysRevB.33.2221
©1986 American Physical Society