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Fractional Quantum Hall States with Non-Abelian Statistics

100%
Möller G., Wójs A., Cooper N.
Acta Physica Polonica A
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2009
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vol. 116
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issue 5
847-848
EN
Using exact numerical diagonalization we have studied correlated many-electron ground states in a partially filled second Landau level. We consider filling fractions ν = 1/2 and 2/5, for which incompressible quantum liquids with non-Abelian anion statistics have been proposed. Our calculations include finite layer width, Landau level mixing and arbitrary deformation of the interaction pseudopotential. Computed energies, gaps, and correlation functions support the non-Abelian ground states at both ν = 1/2 ("Pfaffian") and ν = 2/5 ("parafermion" state).
2
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Composite Fermion Dynamics in Half-Filled Landau Levels of Graphene

100%
Wójs A., Möller G., Cooper N.
Acta Physica Polonica A
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2011
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vol. 119
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issue 5
592-594
EN
We report on exact-diagonalization studies of correlated many-electron states in the half-filled Landau levels of graphene, including pseudospin (valley) degeneracy. We demonstrate that the polarized Fermi sea of non-interacting composite fermions remains stable against a pairing transition in the lowest two Landau levels. However, it undergoes spontaneous depolarization, which is unprotected owing to the lack of single-particle pseudospin splitting. These results suggest the absence of the Pfaffian phase in graphene.
3
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Composite Fermion Description of the Excitations of the Paired Pfaffian Fractional Quantum Hall State

88%
Wójs A., Sreejith G., Möller G., Tőke C., Jain J.
|
EN
We review the recently developed bipartite composite fermion model for the excitations of the so-called Pfaffian state, a promising model for the fractional quantum Hall effect at the Landau level filling factor ν = 5/2. In particular, we demonstrate a necessary ingredient of the non-Abelian braid statistics, namely the degeneracy of spatially indistinguishable configurations of widely separated quasiparticles.
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