Excitation Energies of the Fractional Quantum Hall Effect

Abstract

Excitation energy spectrum of two-dimensional electrons in a strong magnetic field is investigated by diagonalization of the Hamiltonian for finite systems. Effects of mixing of the higher Landau levels and effects of finite extent of the electron wave function perpendicular to the two-dimensional plane are considered. The results are compared with the experiments on GaAs–AlGaAs heterostructure at ν=1/3 and ν=2/3, where ν is the filling factor of the Landau levels.