Phys. Rev. Lett. 70, 4130–4133 (1993)Quantum percolation and plateau transitions in the quantum Hall effectReceived 8 March 1993; published in the issue dated 28 June 1993 We introduce a simple model of quantum percolation and analyze it numerically using transfer matrix methods. A central point of this paper is that 3 both integer and fractional plateau transitions in the quantum Hall effect are due to quantum percolation. Within this model, we obtained the localization length exponent ν=2.4±0.2, the dynamical exponent z=1, and the scaling functions for the conductivity tensor for both the integer and the fractional transitions. We show that our results agree extremely well with the experimental results for the integer plateau transition obtained by McEuen et al. © 1993 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.70.4130
DOI:
10.1103/PhysRevLett.70.4130
PACS:
73.40.Hm, 05.30.-d, 73.50.Jt
See AlsoComment: P. T. Coleridge, Comment on ‘‘Quantum percolation and plateau transitions in the quantum Hall effect’’, Phys. Rev. Lett. 72, 3917 (1994). Reply: D-H. Lee, S. A. Kivelson, Z. Wang, and S-C. Zhang, Lee, Kivelson, Wang, and Zhang reply, Phys. Rev. Lett. 72, 3918 (1994). |
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