Spin-statistics relation for quantum Hall states

Forty years ago, Laughlin explained the newly discovered fractional quantum Hall effect by proposing his famous wave function. He predicted the existence of anyons, particles with fractional charge, obeying fractional statistics. The fractional charge was confirmed almost thirty years ago, while the fractional statistics was observed only a few years back. In this paper, the authors focus on yet another fundamental property of the anyons, namely their spin. They derive a ``spin-statistics relation'' for anyons in fractional quantum Hall states, directly from the microscopic theory. This relation is a generalization of the fundamental ``spin-statistics relation'' that all ordinary particles obey.