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arXiv · 0905.1163

Critical exponent for the quantum Hall transition

Keith Slevin·Tomi Ohtsuki
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Abstract

We report an estimate $ν= 2.593$ $[ {2.587,2.598} ]$ of the critical exponent of the Chalker-Coddington model of the integer quantum Hall effect that is significantly larger than previous numerical estimates and in disagreement with experiment. We conclude that models of non-interacting electrons cannot explain the critical phenomena of the integer quantum Hall effect.

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Keith Slevin, Tomi Ohtsuki. 2009-07-27. Critical exponent for the quantum Hall transition. https://doi.org/10.1103/physrevb.80.041304

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