2011•Acta Physica Polonica AOpen access

Composite Fermion Description of the Excitations of the Paired Pfaffian Fractional Quantum Hall State

Arkadiusz Wójs, G. J. Sreejith, Gunnar Möller, Csaba Tőke, Jainendra K. Jain

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Abstract

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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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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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.

Key concepts: Composite fermion, Pfaffian, Fractional quantum Hall effect, Quantum Hall effect, Physics, State (computer science), Condensed matter physics, Composite number

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