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

摘要

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