Monte Carlo comparison of quasielectron wave functions

Journal Article · Wed Jul 01 04:00:00 EDT 1998 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.58.1451· OSTI ID:638796

Melik-Alaverdian, V; Bonesteel, N E ^[1]

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1. National High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, Florida 32306-4005 (United States)

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. thinsp {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 638796
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 3 Vol. 58; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COULOMB FIELD
ENERGY GAP
FERMIONS
HALL EFFECT
MONTE CARLO METHOD
QUASI PARTICLES
WAVE FUNCTIONS