1998/07/15 by V. Melik-Alaverdian, N. E. Bonesteel
Mathematics · Physics and Astronomy · #Composite fermion #Coulomb #Electron #Energy (signal processing) #Excitation #Fermion #Fractional quantum Hall effect #Function (biology) #Magnetic properties of thin films #Materials science #Mathematics #Monte Carlo method #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum Monte Carlo #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum spin Hall effect #Range (aeronautics) #Statistical physics #Statistics #Variational Monte Carlo #Wave function #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.58.1451
published as Phys. Rev. B 58, 1451-1456 (1998) · 15 pages, 1 ps figure included
openalex publication_date 1998/07/15 · arxiv created 1998/07/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Variational Monte Carlo calculations of the quasielectron and quasihole excitation energies in the fractional quantum Hall effect have been carried out at filling fractions \ensuremathν=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.