Monte Carlo evaluation of trial wave functions for the fractional quantized Hall effect: Disk geometry
Feb 15, 1986Citations per year
Abstract: (APS)
Monte Carlo methods have been employed to evaluate the energy of two previously proposed trial wave functions for the quasiparticle at the ν=13 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 ɛ̃+(13)≈(0.073±0.008)e2εlo, where l0 is the magnetic length, and ε the background dielectric constant. Simulations of the quasihole state confirm previous estimates of ɛ̃−(13)≈0.026e2εl0. 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 ν=25, 23, and 27.References(31)
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