The $ν=1/2$ Quantum Hall Effect and Symmetry Properties of Two-Component Paired Quantum Hall States

Abstract

We describe paired quantum Hall states at filling fractions $ν$, where $ν^{-1}$ is an integer, and present explicit wavefunctions for these states. Experiments are proposed to distinguish between paired states of singlet and triplet symmetry. It is argued from existing experimental data that the $ν=1/2$ state observed in double layer quantum wells is a singlet and not a triplet paired state. In contrast, this state has been interpreted as a `3-3-1 state' which is a triplet paired state.