Off-Diagonal Long Range Order and Scaling in a Disordered Quantum Hall System

Abstract

We have numerically studied the bosonic off-diagonal long range order, introduced by Read to describe the ordering in ideal quantum Hall states, for noninteracting electrons in random potentials confined to the lowest Landau level. We find that it also describes the ordering in disordered quantum Hall states: the proposed order parameter vanishes in the disordered (${\sigma }_{xy}=0$) phase and increases continuously from zero in the ordered (${\sigma }_{xy}=e^2/h$) phase. We study the scaling of the order parameter and find that it is consistent with that of the one-electron Green's function.

10 pages and 4 figures, Revtex v3.0, UIUC preprint P-94-03-023

References in corpus (1)

• Universal Scaling of Strong-Field Localization in an Integer Quantum Hall Liquid

Cited by in corpus (3)

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• Non-local order parameters for states with topological electromagnetic response