corner
corner

Phys. Rev. Lett. 73, 2119–2122 (1994)

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

Download: PDF (286 kB) Buy this article Export: BibTeX or EndNote (RIS)

S. L. Sondhi
Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080

M. P. Gelfand
Department of Physics, Colorado State University, Fort Collins, Colorado 80523

Received 8 February 1994; published in the issue dated 10 October 1994

We have numerically studied 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 (σxy=0) phase and increases continuously from zero in the ordered (σxy=e2/h) phase. We study the scaling of the order parameter and find that it is consistent with that of the one-electron Green function.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.73.2119
DOI:
10.1103/PhysRevLett.73.2119
PACS:
73.40.Hm, 71.27.+a, 71.30.+h