Monte Carlo comparison of quasielectron wave functions

V. Melik-Alaverdian and N. E. Bonesteel
Phys. Rev. B 58, 1451 – Published 15 July 1998
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Abstract

Variational Monte Carlo calculations of the quasielectron and quasihole excitation energies in the fractional quantum Hall effect have been carried out at filling fractions ν=1/3, 1/5, and 1/7. For the quasielectron both the trial wave function originally proposed by Laughlin and the composite-fermion wave function proposed by Jain have been used. We find that for long-range Coulomb interactions the results obtained using these two wave functions are essentially the same, though the energy gap obtained using the composite-fermion quasielectron is slightly smaller, and closer to extrapolated exact-diagonalization results.

  • Received 23 December 1997

DOI:https://doi.org/10.1103/PhysRevB.58.1451

©1998 American Physical Society

Authors & Affiliations

V. Melik-Alaverdian and N. E. Bonesteel

  • National High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, Florida 32306-4005

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Vol. 58, Iss. 3 — 15 July 1998

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