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

Physics – Condensed Matter

Scientific paper

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

Scientific paper

10.1103/PhysRevLett.73.2119

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.

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