| Excitations of the Moore--Read ν=5/2 State: Three-Body Correlations and Finite-Size Effects on a Sphere |
| A. Wójs a,b and J.J. Quinn a a University of Tennessee, Knoxville, Tennessee 37996, USA b Wroclaw University of Technology, 50-370 Wroclaw, Poland |
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| Correlations in partially filled electron and composite fermion Landau levels are studied numerically. Insight into the nature of the correlations is obtained by using model pair pseudopotentials. Energy spectra of a model short-range three-body repulsion are calculated. Moore--Read ground state at the half-filling and its quasielectron, quasihole, magnetoroton, and pair-breaking excitations are all identified. The quasielectron/quasihole excitations are described by a composite fermion model for Laughlin-correlated electron pairs. Comparison of energy spectra and wavefunction overlaps obtained for different pseudopotentials suggests that finite-size effects can be important in numerical diagonalization studies on a sphere. |
| DOI: 10.12693/APhysPolA.105.575 PACS numbers: 71.10.Pm, 73.43.--f |