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

de Souza Batista, Carmen Lucia; Li, Ding-ping

doi:10.1103/PhysRevB.55.1582

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

Carmen Lucia de Souza Batista
(
- Rio de Janeiro, CBPF
)
,
Ding-ping Li
(
- Perugia U. and
- INFN, Perugia
)

Jul, 1996

37 pages

Published in:

Phys.Rev.B 55 (1997) 1582

e-Print:

cond-mat/9607170 [cond-mat]

DOI:

10.1103/PhysRevB.55.1582

Report number:

CBPF-NF-0411-96,
CBPF-NF-041-96,
PG-115-96

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Abstract: (arXiv)

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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