The Fermi-sea-like limit of the composite fermion wave function |
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Authors: | O Ciftja |
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Institution: | (1) Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA, US |
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Abstract: | 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 0pt] 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 0pt] 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.
Received 19 March 1999 |
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Keywords: | 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 |
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