Analytic calculations of trial wave functions of the fractional quantum Hall effect on the sphere
arXiv:cond-mat/9607170 · doi:10.1103/PhysRevB.55.1582
Abstract
We present a framework for the analytic calculations of the hierarchical wave functions and the composite fermion wave functions in the fractional quantum Hall effect on the sphere by using projective coordinates. Then we calculate the overlaps between these two wave functions at various fillings and small numbers of electrons. We find that the overlaps are all most equal to one. This gives a further evidence that two theories of the fractional quantum Hall effect, the hierarchical theory and the composite fermion theory, are physically equivalent.
arXiv comment37 pages, revtex
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- Quasiparticle Interactions in Fractional Quantum Hall Systems: Justification of Different Hierarchy Schemes
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- Effect of the surface curvature on the magnetic moment and persistent currents in two-dimensional quantum rings and dots
- Jack polynomial fractional quantum Hall states and their generalizations
- Nonlinear Holomorphic Supersymmetry on Riemann Surfaces
- Quantum Hall effect on the Lobachevsky plane
- A Quantum Ring in a Nanosphere
- Determination of many-electron basis functions for a Quantum Hall ground state using Schur polynomials
- Hierarchical Wave Functions Revisited