OFF-DIAGONAL LONG-RANGE ORDER IN DISORDERED QUANTUM HALL SYSTEMS

Ideal quantum Hall states exhibit a novel off-diagonal long range orde r which reflects an underlying superconductivity of bosonic charge-flu x composites. We sketch the extension of these ideas to general quantu m Hall systems with disorder and show, by explicit numerical computati on, that Read's version of the ODLRO correctly discriminates between t he conducting (sigma(xy) = e(2)/h) and insulating (sigma(xy) = 0) phas es of noninteracting electrons in random potentials confined to the lo west Landau level.