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Condensation of Nonabelian Moore-Read Quasiholes in Correlated Composite Fermion Liquids

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Wodziński D., Wójs A., Quinn J.
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EN
Two- and three-body correlation functions (number of pairs or triplets vs. relative angular momentum) of electrons or Laughlin quasielectrons (i.e., composite fermions in their first excited Landau level) are studied numerically in several fractional quantum Hall liquids. It is shown directly that theν_e=4/11 liquid (corresponding to aν=1/3 filling of composite fermions in their first excited Landau level) is a paired state of quasielectrons, hence interpreted as a condensate of "second-generation" quasiholes of Moore-Readν=1/2 state of composite fermions.
2
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Pair-Distribution Functions of Laughlin Quasielectrons in Partially Filled Composite Fermion Levels

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Wodziński D., Wójs A., Quinn J.
Acta Physica Polonica A
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2005
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vol. 108
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issue 5
909-914
EN
Pair-distribution functions g(r) of the Laughlin quasielectrons are calculated in the fractional quantum Hall states at electron filling factorsν=4/11 and 3/8. They all have a shoulder at a medium range, supporting the idea of quasielectron cluster formation. The intra- and inter-cluster contributions to g(r) are identified. The average cluster sizes are estimated; pairs and triplets of quasielectrons are suggested atν=4/11 and 3/8, respectively.
3
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Spin Phase Transition in a Correlated Composite Fermion Liquid

100%
Wójs A., Simion G., Wodziński D., Quinn J.
Acta Physica Polonica A
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2007
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vol. 112
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issue 2
153-156
EN
We study spin polarization of the ν_e=4/11 fractional quantum Hall state corresponding to the ν=1/3 filling of the second composite fermion Landau level, and predict a spin phase transition in realistic systems.
4
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Ising Ferromagnetism of Composite Fermions

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Výborný K., Čertík O., Pfannkuche D., Wodziński D., Wójs A., Quinn J.
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EN
The quantum Hall ferromagnets at the half-filling of a pair of degenerate electron or composite fermion Landau levels are studied by exact numerical diagonalization. The results obtained using open and closed geometries (rectangular - with periodic boundary conditions and spherical) are compared. The ferro- and paramagnetic ground states are identified in finite-size energy spectra, and the pair-correlation functions are used in search of the domain structure at half-polarization.
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