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Configuration-interaction calculations on the fractional quantum Hall effect

1986; American Physical Society; Volume: 34; Issue: 4 Linguagem: Inglês

10.1103/physrevb.34.2670

1095-3795

G. Fano, F. Ortolani, E. Colombo,

Magnetic properties of thin films

With the use of Haldane's spherical model, the fractional quantum Hall effect is studied by means of large-scale configuration-interaction calculations. The exact wave function and the ground-state energy are computed numerically up to ten electrons for filling \ensuremath{\nu}=(1/3), and up to seven electrons for filling \ensuremath{\nu}=(1/5). Quasiparticle, quasihole, and exciton energies are computed. The mutual relation between wave functions on the sphere and wave functions on the disk is fully analyzed. A wave function originally proposed by Halperin for the disk geometry is tested on the sphere; the numerical results up to six electrons for \ensuremath{\nu}=(2/5) and \ensuremath{\nu}=(2/9) are favorable.