Second Generation of Moore-Read Quasiholes in a Composite Fermion Liquid

Abstract

Two- and three-body correlations of incompressible quantum liquids are studied numerically. Pairing of composite fermions (CFs) in the 1/3-filled second CF Landau level is found at nu_e=4/11. It is explained by reduced short-range repulsion due to ring-like single-particle charge distribution. Although Moore-Read state of CFs is unstable in the 1/2-filled second CF level, condensation of its quasiholes is a possible origin of incompressibility at nu_e=4/11. Electron pairing occurs at nu_e=7/3 and 13/3, but with different pair-pair correlations. Signatures of triplets are found at higher fillings.

4 pages

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Cited by in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
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• Transition from Abelian to non-Abelian quantum liquids in the second Landau level
• Landau level mixing in the nu=5/2 fractional quantum Hall state
• Spin phase diagram of the nu_e=4/11 composite fermion liquid
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• Search for electron liquids with non-Abelian quasiparticles