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Title: Scaling properties of conductance at integer quantum Hall plateau transitions

Journal Article · · Physical Review, B: Condensed Matter
; ;  [1]
  1. 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, Vol. 58, Issue 7; Other Information: PBD: Aug 1998
Country of Publication:
United States
Language:
English

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