https://doi.org/10.1007/s100510050084
The Fermi-sea-like limit of the composite fermion wave function
Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
Received:
19
March
1999
Published online: 15 February 2000
The experimentally observed filling factors of the fractional quantum Hall
effect can be described in terms of the composite fermion wave function
of the Jastrow-Slater form
fully projected into the lowest Landau level.
The Slater determinant of the above composite fermion wave function
represents the filled Landau levels of composite fermions evaluated at the
corresponding reduced magnetic field.
For a system of fermions studied in the thermodynamic limit,
we prove that in the even-denominator-filled state limit (when the number
of filled Landau levels of composite fermions becomes infinite),
the above composite fermion wave function exactly transforms into the
Rezayi-Read Fermi-sea-like wave function
constructed by attaching 2m flux quanta to the Slater determinant
of two-dimensional free fermions at the density corresponding to that filling.
We study the composite fermion wave function and its evolution into
the Fermi-sea-like wave function for a range of filling factors
very close to the even-denominator-filled state.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 73.40.Hm – Quantum Hall effect (integer and fractional) / 71.27.+a – Strongly correlated electron systems; heavy fermions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
