Paired Hall states in double-layer electron systems

Abstract
We present evidence that a universality class of incompressible electron liquids incorporating p-wave pairing has been observed in the recent experiments of Suen and collaborators. Exact diagonalization studies for small numbers of electrons in a spherical geometry with realistic potentials indicate that a uniform incompressible ground state develops at the correct (displaced) flux. We relate states containing two distinguishable species of electrons to ones with indistinguishable electrons, and propose that instances of each have been realized in different double-layer electron systems at filling fraction ν=1/2.

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