Critical exponent for the quantum Hall transition

Details Critical exponent for the quantum Hall transition Critical exponent for the quantum Hall transition

2009-05-08

arxiv.org/abs/0905.1163v4

Phys. Rev. B 80, 041304(R) (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages. Final version. Journal reference and DOI added

Scientific paper

10.1103/PhysRevB.80.041304

We report an estimate $\nu = 2.593$ $[ {2.587,2.598} ]$ 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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