Year: 1994
Type: article
Abstract: 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 (${\ensuremath{\sigma}}_{\mathrm{xy}}=0$) phase and increases continuously from zero in the ordered (${\ensuremath{\sigma}}_{\mathrm{xy}}=\frac{{e}^{2}}{h}$) phase. We study the scaling of the order parameter and find that it is consistent with that of the one-electron Green function.
Source: Physical Review Letters
Authors: S. L. Sondhi, M. P. Gelfand
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1994074198