Scaling properties of conductance at integer quantum Hall plateau transitions
- Ames Laboratory--USDOE and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011 (United States)
We investigate the scaling properties of zero-temperature conductances at integer quantum Hall plateau transitions in the lowest Landau band of a two-dimensional tight-binding model. Scaling is obeyed for all energy and system sizes with critical exponent {nu}{approx} (7) /(3) . The arithmetic average of the conductance at the localization-delocalization critical point is found to be {l_angle}G{r_angle}{sub c}=0.506e{sup 2}/h, in agreement with the universal longitudinal conductance {l_angle}{sigma}{sub xx}{r_angle}= (1) /(2) e{sup 2}/h predicted by an analytical theory. The probability distribution of the conductance at the critical point is broad with a dip at small G. {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 639832
- Journal Information:
- Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 7 Vol. 58; ISSN PRBMDO; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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