Analytic calculations of trial wave functions of the fractional quantum Hall effect on the sphere

Details Analytic calculations of trial wave functions of the fractional quantum Hall effect on the sphere Analytic calculations of trial wave functions of the fractional quantum Hall effect on the sphere

1996-07-24

arxiv.org/abs/cond-mat/9607170v1

Phys.Rev. B55 (1997) 1582

Physics

Condensed Matter

37 pages, revtex

Scientific paper

10.1103/PhysRevB.55.1582

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.

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