Monte Carlo Comparison of Quasielectron Wave Functions

Details Monte Carlo Comparison of Quasielectron Wave Functions Monte Carlo Comparison of Quasielectron Wave Functions

1998-07-26

arxiv.org/abs/cond-mat/9807343v1

Phys. Rev. B 58, 1451-1456 (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, 1 ps figure included

Scientific paper

10.1103/PhysRevB.58.1451

Variational Monte Carlo calculations of the quasielectron and quasihole excitation energies in the fractional quantum Hall effect have been carried out at filling fractions $\nu=1/3$, 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.

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