Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-12-16
Phys. Rev. B 82, 075302 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
10 pages, 7 figures
Scientific paper
10.1103/PhysRevB.82.075302
We examine the possibility of creating the Moore-Read Pfaffian in the lowest Landau level when the multicomponent Halperin 331 state (believed to describe quantum Hall bilayers and wide quantum wells at the filling factor $\nu=1/2$) is destroyed by the increase of tunneling. Using exact diagonalization of the bilayer Hamiltonian with short-range and long-range (Coulomb) interactions in spherical and periodic rectangular geometries, we establish that tunneling is a perturbation that drives the 331 state into a compressible composite Fermi liquid, with the possibility for an intermediate critical state that possesses some properties of the Moore-Read Pfaffian. These results are interpreted in the two-component BCS model for Cauchy pairing with a tunneling constraint. We comment on the conditions to be imposed on a system with fluctuating density in order to achieve the stable Pfaffian phase.
Goerbig Mark O.
Milovanović Milica V.
Papić Zlatko
Regnault Nicolas
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