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Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels

E. H. Rezayi·F. D. M. Haldane
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Abstract

We consider the two lowest Landau levels at half filling. In the higher Landau level (nu =5/2), we find a first order phase transition separating a compressible striped phase from a paired quantum Hall state, which is identified as the Moore-Read state. The critical point is very near the Coulomb potential and the transition can be driven by increasing the width of the electron layer. We find a much weaker transition (either second order or a crossover) from pairing to the composite fermion Fermi liquid behavior. A very similar picture is obtained for the lowest Landau level but the transition point is not near the Coulomb potential.

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E. H. Rezayi, F. D. M. Haldane. 2001-01-17. Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels. https://doi.org/10.1103/physrevlett.84.4685

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