Universal conductance in the lowest Landau level

Y. Huo, R. E. Hetzel, R. N. Bhatt

Research output: Contribution to journalArticlepeer-review

135 Scopus citations


We have performed numerical calculations of the diagonal and off-diagonal (Hall) components of the conductivity tensor for a system of noninteracting electrons in two dimensions at high magnetic fields (lowest Landau level), in the presence of a random potential. We have considered five different potentials, with varying correlation length, with and without electron-hole symmetry. Our results are consistent, within statistical uncertainties, with a conductivity tensor at the critical energy with both components equal to 0.5e2/h. This suggests that the conductivity tensor at the lowest-Landau-level integer quantum Hall transition is universal, independent of the details for short-range random potentials.

Original languageEnglish (US)
Pages (from-to)481-484
Number of pages4
JournalPhysical review letters
Issue number4
StatePublished - 1993

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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