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Phys. Rev. B 80, 041304(R) (2009) [4 pages]

Critical exponent for the quantum Hall transition

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Keith Slevin
Department of Physics, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan

Tomi Ohtsuki
Department of Physics, Sophia University, Kioi-cho 7-1, Chiyoda-ku, Tokyo 102-8554, Japan

Received 13 May 2009; published 9 July 2009

See accompanying Physics Synopsis

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. This suggests that models of noninteracting electrons cannot explain the critical phenomena of the integer quantum Hall effect.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.80.041304
DOI:
10.1103/PhysRevB.80.041304
PACS:
73.43.−f, 72.15.Rn