Related papers: Mutual composite fermions in double layer quantum …
This paper has been withdrawn by the author.
This paper has been withdrawn by the author due to a gap in the proof of Lemma 3.4
This paper has been withdrawn by the author to comply with the journal policy to which it has been submitted.
This paper has been withdrawn by the author due to a crucial problem associated with Figs. 2 and 3.
We comment on the recent paper by Scarola, Park, and Jain [Nature v. 406, p. 863 (2000); cond-mat/0012030] on a trial wavefunction calculation of pairing in a fractional quantum Hall system at nu=5/2. We point out two errors that invalidate…
The paper has been withdrawn due to a crucial error in section 3.
Double layer quantum Hall systems have interesting properties associated with interlayer correlations. At $\nu =1/m$ where $m$ is an odd integer they exhibit spontaneous symmetry breaking equivalent to that of spin $1/2$ easy-plane…
We present microscopic derivations of the one-dimensional low-energy boson effective Hamiltonians of quantum wire and quantum Hall bar systems. The quantum Hall system is distinguished by its spatial separation of oppositely directed…
This paper has been withdrawn: it has been merged with the preprint to which it refers.
The paper was withdrawn by the author. Further research is needed.
An effort is made to understand the phenomenological composite fermion model of the quantum Hall effect. The odd denominators are composed by adding plus minus 1 to the even numbers 2, 4, 6 and 8. Although the denominators are…
The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems is explained by the emergent composite fermions (CF) out of ordinary electrons. It is possible to write down explicit wavefunctions explaining many if…
This paper has been withdrawn by the author and replaced by arXiv:0809.4751
Paper withdrawn. Replaced by by gr-qc/0212077 .
We study the pairing symmetry of the interlayer paired state of composite fermions in quantum Hall bilayers. Based on the Halperin-Lee-Read (HLR) theory, the effect of the long-range Coulomb interaction and the internal Chern-Simons gauge…
When confined to two dimensions and exposed to a strong magnetic field, electrons screen the Coulomb interaction in a topological fashion; they capture and even number of quantum vortices and transform into particl es called `composite…
We discuss the possibility of the quantum Hall effect at half-filled Landau level in terms of the pairing of the composite fermions. In the absence of Coulomb energy, we show that the ground state of the system is described by the {\it…
This paper has been withdrawn
This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.
We find the RPA correlation energy and collective modes of the systems of composite fermions corresponding to the fillings of $1/3$, $1/5$, $2/5$ in the fractional quantum Hall effect. It is verified that transmutations to composite…